Q:

# What is the prime factorization of 225?

A:

The prime factors of 225 are 3 x 3 x 5 x 5. The prime factors of a number are its factors that are also prime numbers. Composite numbers are not considered prime factors.

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Factors of 225 are numbers that divide 225 exactly, without leaving a remainder. Every number is a factor of itself, and the number 1 is a factor of every number. All possible factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75 and 225. However, only 3 and 5 are prime numbers, and therefore prime factors. Numbers 9 and 15 are factors of 225, but they are not prime numbers.

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