How do you find the factors of 54204?

Answer 1

Start with the prime factorization.

In Exponential Form: 2^2 x 3^1 x 4517^1

Adding one to the exponents and multiplying gives you the number of factors.

3 x 2 x 2 = 12

54204 has twelve factors. All we need to find is 6. Dividing them into 54204 will give us the other 6.

Apply what you know about the rules of divisibility.

1 is because 1 always is.

2 is because it's even.

3 is because the digits add up to a multiple of 3.

4 is because the last two digits are a multiple of 4.

6 is because 2 and 3 are.

That leaves one to find. We know 4517 is a factor from the prime factorization. Dividing that into 54204 gives us 12. That's all of them.

All Factors of 54204: 1, 2, 3, 4, 6, 12, 4517, 9034, 13551, 18068, 27102, 54204