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2500 prime factorization

What is the prime factorization of 2500?

Find the prime factorization of 2500

2500 is divisible by 100:

2500 ÷ 100 = 25

See Divisibility criteria for 10.

Neither 100 nor 25 are prime numbers.

See Prime numbers 1 through 200.

The prime factorization of 100 is

100 =
2 * 2 * 5 * 5

See 100 prime factorization.

The prime factorization of 25 is

25 = 5 * 5

See 25 prime factorization.

Therefore, the prime factorization of 2500 is

2500 =
2 * 2 * 5 * 5 * 5 * 5

The prime factorization of 2500 using exponents

2500 = 22 * 54

So, the prime factors of 2500 are

2, 2, 5, 5, 5, 5