Q: What are the prime factors of the number 57,127,935?

 A: 3, 5, 479, 7951

Why are those the prime factors of the number 57,127,935?

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 57,127,935

57,127,935
Factor Arrows
319,042,645
Factor Arrows
53,808,529
Factor Arrows
4797,951

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:

3, 5, 479, 7951

We can check our work by multiplying all of the prime factors together: 3 x 5 x 479 x 7,951 = 57,127,935

This can also be written as 31 x 51 x 4791 x 7,9511 = 57,127,935

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


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