Q:

What is the prime factorization of 99?

A:

The prime factorization of 99 is 3 times 3 times 11, or 3^2 times 11. Prime factorization requires finding the prime numbers that multiply together to make a particular number. Prime numbers are numbers that are evenly divisible by only themselves and one.

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To learn the prime factors of 99, find two numbers that multiply together to make 99, such as 9 and 11. Eleven is a prime factor because it is only divisible by itself and 1, but 9 is not prime. Next, find two numbers that multiply together to make 9, such as 3 times 3. Since 3 is prime, all the prime factors have been found.

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The full prime factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2. The prime factorization of a number is computed by dividing the number by a small prime number, such as 2, 3 or 5, until the final value is also prime. Prime factorizations are commonly taught in school through the use of the factor tree method.

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