What is 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

2 * 2 * 5 * 5

The prime factorization of 25 is

25 = 5 * 5

Therefore, the prime factorization of 2500 is

2500 =

2 * 2 * 5 * 5 * 5 * 5

2 * 2 * 5 * 5 * 5 * 5

The prime factorization of 2500 using exponents

2500 = 2^{2} * 5^{4}

So, the prime factors of 2500 are

2, 2, 5, 5, 5, 5