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# Why is 101 a prime number?

Prime numbers have an important place in mathematics, and 101 is no exception. A prime number is a number that can only be divided by 1 and itself. 101 is a prime number as it has only two factors: 1 and 101 itself.

The concept of prime numbers dates back to ancient Greece, where Euclid first discussed the idea. Euclid’s work was later expanded upon by subsequent mathematicians, and the definition of prime numbers we use today was eventually established.

So, what makes 101 a prime number? As we said earlier, a prime number must have only two factors. In the case of 101, these two factors are 1 and 101 itself. This means that 101 cannot be divided by any other number other than 1 and itself. This satisfies the definition of a prime number, and therefore 101 is prime.

Having a prime number like 101 can also be useful for various mathematical calculations. For example, if you need to find the greatest common divisor of two numbers, you can use prime numbers such as 101 to help you find the answer.

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