Write the prime factorization of the number if it is not a prime. If the number is a prime, writ

step 1 We want to find out prime factorization of 101. So before we do that, let's check. So to do that

Write the prime factorization of the number if it is not a...

Key Concepts

Prime Numbers

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Prime numbers are the basic building blocks in number theory because every number can be expressed as a product of primes, and they play a crucial role in various mathematical fields and applications.

Prime Factorization

Prime factorization is the process of breaking down a composite number into a product of prime numbers. According to the Fundamental Theorem of Arithmetic, every composite number has a unique prime factorization (disregarding the order of the factors), making this concept critical for understanding the structure and properties of numbers.

Primality Testing

Primality testing involves determining whether a given number is prime or composite by checking for divisibility by integers other than 1 and itself. This concept underpins the process of prime factorization since only composite numbers need to be factored further, while prime numbers are identified as having no divisors other than 1 and themselves.

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