SBP-Program

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175 prime factorization

What is the prime factorization of 175?

Find the prime factorization of 175

175 is divisible by 25:

175 ÷ 25 = 7

7 is a prime number.

25 is not a prime number.

See Prime numbers 1 through 30.

The prime factorization of 25 is

25 = 5 * 5

See 25 prime factorization.

Therefore, the prime factorization of 175 is

175 = 5 * 5 * 7

The prime factorization of 175 using exponents

175 = 52 * 7

So, the prime factors of 175 are

5, 5, 7