Q: What are the prime factors of the number 57,426,624?

 A: 2, 3, 167, 199

Why are those the prime factors of the number 57,426,624?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 57,426,624

57,426,624
Factor Arrows
228,713,312
Factor Arrows
214,356,656
Factor Arrows
27,178,328
Factor Arrows
23,589,164
Factor Arrows
21,794,582
Factor Arrows
2897,291
Factor Arrows
3299,097
Factor Arrows
399,699
Factor Arrows
333,233
Factor Arrows
167199

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 167, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 167 x 199 = 57,426,624

This can also be written as 26 x 33 x 1671 x 1991 = 57,426,624

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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