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456 prime factorization

What is the prime factorization of 456?

Find the prime factorization of 456

456 is divisible by 6:

456 ÷ 6 = 76

Neither 6 nor 76 are prime numbers.

See Prime numbers 1 through 100.

The prime factorization of 6 is

6 = 2 * 3

See 6 prime factorization.

The prime factorization of 76 is

76 = 2 * 2 * 19

See 76 prime factorization.

Therefore, the prime factorization of 456 is

456 =
2 * 2 * 2 * 3 * 19

The prime factorization of 456 using exponents

456 =
23 * 3 * 19

So, the prime factors of 456 are

2, 2, 2, 3, 19