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90 prime factorization

What is the prime factorization of 90?

Find the prime factorization of 90

90 is divisible by 10:

90 ÷ 10 = 9

See Divisibility criteria for 10.

Neither 9 nor 10 are prime numbers.

See Prime numbers 1 through 50.

The prime factorization of 9 is

9 = 3 * 3

See 9 prime factorization.

The prime factorization of 10 is

10 = 2 * 5

See 10 prime factorization.

Therefore, the prime factorization of 90 is

90 =
3 * 3 * 2 * 5 =
2 * 3 * 3 * 5

The prime factorization of 90 using exponents

90 = 2 * 32 * 5

So, the prime factors of 90 are

2, 3, 3, 5