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6300 prime factorization

What is the prime factorization of 6300?

Find the prime factorization of 6300

6300 is divisible by 100:

6300 ÷ 100 = 63

Neither 63 nor 100 are prime numbers.

See Prime numbers 1 through 200.

The prime factorization of 63 is

63 = 3 * 3 * 7

See 63 prime factorization.

The prime factorization of 100 is

100 =
2 * 2 * 5 * 5

See 100 prime factorization.

Therefore, the prime factorization of 6300 is

6300 =
2 * 2 * 3 * 3 * 5 * 5 * 7

The prime factorization of 6300 using exponents

6300 =
22 * 32 * 52 * 7

So, the prime factors of 6300 are

2, 2, 3, 3, 5, 5, 7