Q: What are the prime factors of the number 57,887,620?

 A: 2, 5, 7, 59069

Why are those the prime factors of the number 57,887,620?

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 57,887,620

57,887,620
Factor Arrows
228,943,810
Factor Arrows
214,471,905
Factor Arrows
52,894,381
Factor Arrows
7413,483
Factor Arrows
759,069

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, 5, 7, 59069

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 59,069 = 57,887,620

This can also be written as 22 x 51 x 72 x 59,0691 = 57,887,620

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


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