Q:

What are the factors of 99?

A:

Quick Answer

The factors of 99 are 1, 3, 9, 11, 33 and 99. These are the numbers that when multiplied together give the result of 99. The following number pairs have a product of 99: 1 x 99, 3 x 33, and 9 x 11.

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What are the factors of 99?
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Full Answer

Ninety-nine is a composite number, which mean it has other factors aside from 1 and itself. Its prime factors are 3 x 3 x 11. The numbers 3 and 11 are prime numbers and when someone multiplies two 3’s and one 11 together, the product is the given number, which is 99.

The process of finding which prime numbers when multiplied together result to a certain number is called prime factorization. The method is done by breaking the original number into two of its factors and continuously splitting these factors until all are prime numbers. Making a factor tree is a visual approach to performing prime factorization. For the number 99, 3 and 33 can be chosen as its factors. The number 33 is not a prime number, but its factors 3 and 11 are primes. Therefore, 3 x 3 x 11 are the prime factors of 99. The number one is not included in prime factorization, but the process requires every instance of each prime factor.

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