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875 prime factorization

What is the prime factorization of 875?

Find the prime factorization of 875

875 is divisible by 25:

875 ÷ 25 = 35

Neither 25 nor 35 are prime numbers.

See Prime numbers 1 through 50.

The prime factorization of 25 is

25 = 5 * 5

See 25 prime factorization.

The prime factorization of 35 is

35 = 5 * 7

See 35 prime factorization.

Therefore, the prime factorization of 875 is

875 =
5 * 5 * 5 * 7

The prime factorization of 875 using exponents

875 = 53 * 7

So, the prime factors of 875 are

5, 5, 5, 7