Q: What are the prime factors of the number 57,503,336?

 A: 2, 11, 283, 2309

Why are those the prime factors of the number 57,503,336?

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 57,503,336

57,503,336
Factor Arrows
228,751,668
Factor Arrows
214,375,834
Factor Arrows
27,187,917
Factor Arrows
11653,447
Factor Arrows
2832,309

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, 11, 283, 2309

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 283 x 2,309 = 57,503,336

This can also be written as 23 x 111 x 2831 x 2,3091 = 57,503,336

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


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