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630 prime factorization

What is the prime factorization of 630? What is the prime factorization of 630 using exponents?

Find the prime factorization of 630

630 is divisible by 10:

630 ÷ 10 = 63

See Divisibility criteria for 10.

Neither 10 nor 63 are prime numbers.

See Prime numbers 1 through 100.

The prime factorization of 10 is

10 = 2 * 5

See 10 prime factorization.

The prime factorization of 63 is

63 = 3 * 3 * 7

See 63 prime factorization.

Therefore, the prime factorization of 630 is

630 =
2 * 3 * 3 * 5 * 7

The prime factorization of 630 using exponents

630 =
2 * 32 * 5 * 7

So, the prime factors of 630 are

2, 3, 3, 5, 7