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How to Find the Prime Factorization of a Number?

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Prime numbers are one of the most important concepts of mathematics, and it has numerous applications in the real world such as cryptography, card security and so on. In Mathematics, every number is made up by multiplying prime numbers. We can find out what prime numbers make an original number by using prime factorization.

Prime Factorisation is an interesting concept. It lets you find the factors of a number. In fact, each and every number is a product of its prime. The concept of prime factorization of a number is quite simple. Once students get accustomed to the concept, they enjoy solving it. In this blog, we will cover the topic of prime factorization and list out various interesting ways to find the factors of a given number.

Let’s dive in then!

Prime Factorization – Definition

The process of finding out the prime numbers which make an original number is known as prime factorization. We can find the prime factorization of a given number by various methods. Prime Factorisation is basically performed on composite numbers in order to find its prime factors. It is also used in finding the LCM  ( Least Common Multiple ) and the HCF or GCF ( Highest or Greatest Common Factor.

In this blog, we will go through some of these methods in order to get a crystal clear understanding of the concept of Prime Factorisation.

Methods to Find Prime Factorization

Division Method

In this method, we find out the prime factors of a given number by using the following steps :

• Step – 1: We first divide the given number by the smallest prime number, which divides this number exactly. E.g. 320/2 = 160
• Step- 2: Now, we need to divide this quotient by the smallest prime number. Following the above example, we now have 160/2 = 90
• Step 3: We now repeat step-2 until the quotient is one. (Upon following this, we get six times the multiple of 2 and one time 5)
• Step 4: We can now see all the prime factors in multiples. i.e. 320 = 26 x 5

Factor Tree Method

In order to find the prime factorization by factor tree method, we need to follow the following steps:

• Step 1: The first step is imagination. You need to imagine this number as a root of a tree. Let’s assume the number is 24.
• Step 2: Now write down any two factors of that tree. The pair of factors needs to be listed below the number which we considered as the root of that tree. The pair of composite factors for 24, in this case, is 6 and 4
• Step 3: The listed two factors of the given number needs to factorize. Once you factorize the given number, list down the composite factors below the factors. Upon factorization of 6 and 4, we get its factors (2,3) and (2,2) respectively.
• Step 4: Step-3 is repeated until we find the prime factors of the composite numbers in the above steps. From our example, we do not need any further factorization as per our example as we have already got the product of primes.

The factor tree method is simple and fun! You just need to find two composite factors of a number and the rest steps follow through. I hope you enjoyed learning Prime Factorisation with the help of these methods. Cuemath is an online learning platform that helps you understand these methods with the help of visual tools that can help you develop rock-solid concepts.

I hope this blog helped you understand how to find the prime factorization of a given number. Remember, regular practice of these methods can be beneficial in the long run as it gives you a speed boost and keeps you way ahead in the game! Happy Learning.

Eileen Dover is a published author, a former award-winning journalist, and the former executive director of the South Carolina Press Association.

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The Evolution and Future of the iGaming Industry

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Technology has been advancing in leaps and bounds since the past decade. With proficient and formidable interfaces, the iGaming industry is one of the fastest-growing sectors. According to the trend analysis research conducted by the Transparency Market Research, the industry would grow to a whopping value of US \$100 billion at the end of 2024. The sector made records in 2016 by setting a market value of approximately US \$41.68 billion. In spite of battles with the governments of several countries, the growth of the industry is unhindered and diversified.

What is iGaming?

iGaming or online gaming is playing games or betting on the outcome of a game over the Internet. iGaming is not just limited to sports betting like the NFL but also extends to online casinos where players wager bets on games such as Roulette, Blackjack, Poker, etc.

The most popular gaming hubs are in Malta, Gibraltar, and the UK. The revenue and market size of the industry is currently at par with the global film and music industry or maybe more.

Evolution of the iGaming industry

Games, sports, and competitions have been a part of human history. Unsurprisingly, the advancement of technology meant that gaming also changed course to create a prominent presence on PCs, smartphones, and tablets. As innovation and interfaces upgrade, the accessibility and creativity expectations of iGaming are also above the normal gaming levels.

Present-day gaming

Thus, the tech-savvy generation of gamers and players insists on mobile-friendly, uncomplicated, quality games. Improved mobile hardware and powerful graphics create an atmosphere of intense competition for perfection.

For gaming operators of online casinos, this demand laid out by the gamers aggrandises the competition. The expectation is that they should give gaming deliverables, which replicates the environment of land casinos. Players also insist on secure and SSL encrypted gaming websites. Hence, online game developers may devise secure platforms without compromising with the look and feel of the game.

Future of the iGaming industry

With the aspiration of addressing the needs of the tech-savvy players, online game operators, and even the most significant search engines are leveraging the interest. Have you heard of Google Stadia? It is an online stadium where gamers can play, compete, cheer, and do all the other gaming activities as if they were in a land-based casino. In a few years, we may just have an online Olympics.

Augmented casinos

The augmented reality equipped casinos give players a 360-degree experience of an online casino. They harmonise with realism remarkably – a simple turn by the player can reveal the casino staff data, table details, other game details, etc.

However, augmented reality is under development, currently. Players still require additional accessories such as special glasses or headsets for a complete experience.

Blockchain casinos and cryptocurrencies

Some advanced gaming platforms also incorporate digital currencies and their underlying technology, Blockchain. Some popular options used by iGaming platforms as viable and prompt payment methods are Bitcoin, Ethereum, Litecoin, Dogecoin, and BitcoinCash.

There is general speculation that Blockchain Technology is the next phase of iGaming. Its resistance to data modification and problem-solving capabilities is the key to a future beckoning for online casinos.

Final thoughts

The brick and mortar casinos continue to remain the favourite choices of the previous generation. However, With Gen-Z players and gamers, online casino and iGaming with intelligent technology are game-changers. Days of visiting a land casino would slowly start diminishing. Players can play their favourite game from the comfort of their homes with better gaming experience. Players and betting fanatics can plunge into a game of their choice anytime and from anywhere, thanks to iGaming and Internet of Things of IoT. It is an inevitable truth that with space-age level technology, the gaming experience and interfaces are only bound to get better.

Nonetheless, with online casinos being an unregulated sector, gamers are advised caution.

Regardless of interface or gaming varieties choose online casinos that are:

• Authorised and licensed by gaming commissions
• Reliable with a happy share of winners
• Offer a variety of payment options
• Ensure data encryption
• Do not have low withdrawal limits, long cashout periods, and restrictions on non-bonus cash.
• Prompt customer desk.

Players should run an adequate background check of the gaming platform before signing up.

INNOVATION IN HEALTHCARE MAKES MEDICAL TREATMENTS EFFICIENT AND ACCESSIBLE – EFFORTS OF DR. SHARMILA ANANDASABAPATHY

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The automotive sector, corporate world, educational system, and healthcare are under a strong technological influence. Every day smart innovations and advanced technological solutions are introduced that can enable breakthrough performance and enhance efficiency. Cryptocurrencies, voice assistants, driverless vehicles, reusable rockets, and robot assistants are some of the innovations that are changing the world for better. There are some amazing innovations in the healthcare sector that are making medical treatments efficient and accessible to the world.

Drone delivery of medical supplies by David Abney, a stem-cell cure for diabetes by Doug Melton, 54gene by Abasi Ene-Obong, CTRL-kit by Thomas Reardon, and The SmartPod™ by Baylor College of Medicine are few revolutionary healthcare technological solutions. The benefits of these smart solutions make healthcare efficient. Out of all these innovations, SmartPods™ is an innovation that makes healthcare accessible to people living in the rural parts of the world. The easy-to-transport healthcare facility was created by a team of medical experts with Dr. Sharmila Anandasabapathy, a Sri Lankan-American physician, as the primary creator.

SMART PODS – COST-EFFICIENT, DEPLOYABLE, FULLY-EQUIPPED

The SmartPod™ is a deployable healthcare facility that was developed at The Baylor College of Medicine in response to the 2014 Ebola epidemic. The purpose of the SmartPods™ was to reduce the response time and effectively address the medical emergencies or disease outbreaks in remote or underserved parts of the world. These pods are aluminum containers with steel frames that meet ISO shipping standards. These are fully-equipped to provide high-quality healthcare to people residing in regions lacking quality healthcare.

The SmartPods™ are standard shipping containers of 8×20 feet and can be easily transported by air, by sea, and by road. The containers can turn into a proper 400+ square foot healthcare facility in less than five minutes. These pods open manually with just four people. Efforts have been made in the past to provide top quality medical care to inaccessible parts of the world. However, the absence of technological equipment and improper communication channels made it impossible for healthcare professionals to extend their services to the people deprived of reliable medical care.

Currently, several units have been deployed worldwide as clinics, laboratories (BSL 2 and BSL 3), and pharmacies. Operating rooms and isolation units for respiratory pathogens (SARS-COVID-2) are also being developed. The SmartPods™ are deployed globally, and they feature a UV and HEPA filtration system which maintains a hygienic environment in these pods by filtering out the allergens and pathogens that spread viruses. Other features of these pods include air conditioning, disinfectant-ready surfaces,  temperature-controlled pharmaceutical inventory, and hardware /software for telemedicine or teleguidance.

Dr. Sharmila Anandasabapathy has put in significant efforts to make these deployable pods a possibility. Her research and hard work are helping the world cater to disease outbreaks efficiently in both urban as well as rural parts of the world.

RESEARCH AND INNOVATION IN CANCER DIAGNOSIS AND TREATMENT

The primary focus of Dr. Sharmila Anandasabapathy is on gastrointestinal cancer. The Sri Lankan-American physician is involved in extensive research on using novel technologies that can make cancer diagnosis and treatment quick and efficient. Trained in advanced gastrointestinal endoscopy says that cancer in complex parts of the body makes it difficult for the doctors to make an accurate diagnosis. To treat gastrointestinal cancer, doctors must identify the exact affected areas. Neoplastic growth in the body is typically accompanied by hyperplasia and inflammation in the surrounding regions. It is crucial to identify cancer to provide correct treatments, but diagnosis needs to be done accurately and efficiently to avoid unnecessary biopsies which increase cost and risk

Dr. Sharmila Anandasabapathy’s research has led to the evaluation of advanced imaging technology for the detection of gastrointestinal cancer. Microendoscopy is a cost-effective detection method that easily gets inserted in the biopsy channel of an endoscope and provides 1000x magnification, allowing an ‘optical biopsy’ of the affected tissue.

The use of augmented reality in cancer diagnosis and treatment is another way healthcare providers can stay connected to expert interpretation while operating in rural areas. In underdeveloped countries, the lack of screening and diagnostic technology makes it impossible for doctors to diagnose cancer growth at its early stage. According to Dr. Sharmila Anandasabapathy, the best way to cure cancer is to prevent cancer. Early diagnosis can help prevent cancer before it becomes advanced and incurable.

ABOUT DR. SHARMILA ANANDASABAPATHY – BOARD CERTIFIED IN GASTROENTEROLOGY

A researcher and a professor of Medicine in Gastroenterology at the Baylor College of Medicine in Houston, Sharmila Anandasabapathy’s work is invaluable for the medical sector. Her research papers and articles are published in notable journals. After getting her bachelor’s degree in English Literature from Yale University in 1993, she went to The Albert Einstein College of Medicine from where she graduated with an M.D degree with distinction in research in 1998.

After graduating with a doctor of medicine degree, she worked as an intern for four years at the New York-Presbyterian Hospital’s Weill Cornell Medical Center and Memorial Sloan Kettering Cancer Center. In 2004, Sharmila went to Mount Sinai Medical Center, where she completed her gastroenterology fellowship and received advanced training in the endoscopic management of Barrett’s esophagus and esophageal cancer.

Currently, she is the Vice President and Director of Baylor Global Health, overseeing international programs focused on global healthcare capacity development and research. She is Chair of the AGA Women’s Committee as well as Associate Editor of Gastrointestinal Endoscopy. Previously, she served as an attending physician at both Mount Sinai Medical Center and M.D. Anderson Medical Center. Her work is highly valued on a global level. She was listed as one of the most influential women in Houston and has been repeatedly ranked in the list of Super and Top doctor’s USA. Moreover, she is a featured USAID female innovator.

Here’s What the Super-Rich Do With Their Money During a Crisis

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If you want to know which way the prevailing economic winds are blowing, look to the super-rich. Market hawks noticed as far back as September that the super-rich had stopped spending on the usual trinkets, such as yachts, private jets, and expensive artworks – a development that has precluded every recession in recent history. The rich, given the enviable positions that they occupy at the upper echelons of society, are better placed than most to respond to an economic downturn.

Given that we are now staring down the barrel of a significant recession, it should come as no surprise that the global super-rich have begun piling their money into assets and markets that have traditionally served as safe havens in times of crisis, as well as some new ones that may become the port of choice in future crises. Let’s take a closer look at exactly what the super-rich do with their money in times of crisis.

1. Luxury Bunkers

One of the most dramatic shifts that have occurred in recent years is the propensity of the super-rich to spend obscene amounts of cash on remote, impenetrable bunkers where they can ride out the apocalypse. According to research conducted by The Guardian, inquiries for ‘apocalypse-proof’ bunkers in hotspots such as New Zealand and the rural US have increased several hundred-fold since 2016.

It’s clear that the rich believe something big is on the horizon, or that it is already with us, given that Silicon Valley billionaires have already jetted off to their bunkers since the current crisis began. While some fortified luxury bunkers go for tens of millions of dollars, there are more modest ones in places like South Dakota where the rich are snapping up nuclear-proof, subterranean ‘apartments’ for several hundred thousand dollars apiece.

2. Bonds

Government-backed bonds have historically been seen as one of the safest places to put your money in a crisis, and today is no exception. Since the current economic downturn began, hundreds of billions of dollars have flown into federal and municipal bonds, largely from wealthy investors. Bonds are a popular choice because even when the market sinks, they do not depreciate as much compared to other assets such as equities.

What’s more, the interest that investors can earn from bonds are often tax-free, meaning that a substantial revenue stream can be enjoyed if one was to buy enough bonds. Bonds issued by the US Federal Reserve are by far the most popular, but municipal bonds issued by local governments are also proving to be in-demand at the moment.

Source: Pixabay

3. Cryptocurrencies

Ever since the bitcoin bubble first burst back in 2017, us common folk have largely ignored it. However, the wealthy have not. Despite dropping in value during the flash crash in February 2020, bitcoin has been enjoying a sustained rally in recent months, with Forbes recently predicting that another bitcoin boom is on the horizon.

Wealthy people have demonstrated a keen interest in bitcoin since it first came to the market, with billionaires such as Peter Thiel and Elon Musk being strong advocates. Of course, you don’t have to be a billionaire to trade and invest in bitcoin. As this guide to cryptocurrency trading explains, licensed crypto brokers in dozens of countries can get anyone started in the business of bitcoin and other altcoins.

4. Bargain Stocks

There is a common misconception that the reason wealthy people are wealthy is that they are highly risk-averse. This could not be further from the truth. While it is true that rich people tend to pile into safe assets in times of crisis, they also have a tendency to make investment decisions that would give many of us cause for concern.

For example, when airline stocks were crashing at the beginning of 2020, billionaires such as Warren Buffet began snapping up millions of dollars worth of shares. This is because a crisis is often the best time to buy yourself a bargain. Those who are brave enough to buy when shares are low and dropping often does so in the belief that they will rise again once the crisis has passed. The rich may have plenty of cash to spare, but that doesn’t mean they don’t love a good bargain.

Source: Pixabay

5. Real Estate

Even during the US subprime mortgage crisis in 2007, the super-rich were snapping up penthouses and mansions like never before. This is because, although real estate can severely depreciate in times of crisis, the long-term outlook for it is always solid. What’s more, the scale of depreciation for real estate is often much smaller than for other assets such as stocks and oil.

Given that the bulk of the ultra-luxury real estate market is now concentrated in a few densely populated urban areas that show little signs of cooling off in the years to come, such as New York, London, Paris, and Hong Kong, the wealthy are continuing to see real estate in these markets as a safe bet.

6. Hoarding Cash

While the rich do have a strong tendency to move money around during times of crisis, they also have a strong tendency to not spend at all. According to a recent survey of ultra-wealthy UBS clients, more than half of the world’s 1% have been stockpiling cash for at least a year now.

The cash holding of the top 1% before the 2008 recession amounted to just \$15 billion. Today, that amount has risen to more than \$300 billion and counting. While other assets may show plenty of promise in times of turmoil, the rich know better than anyone else that cash is always king.

This is what the rich do with their money in times of crisis. As current events continue to unfold, it will be interesting to see what else we learn about the habits of the ultra-rich. Stay tuned to find out.