Q: What are the prime factors of the number 57,787,888?

 A: 2, 653, 5531

Why are those the prime factors of the number 57,787,888?

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 57,787,888

57,787,888
Factor Arrows
228,893,944
Factor Arrows
214,446,972
Factor Arrows
27,223,486
Factor Arrows
23,611,743
Factor Arrows
6535,531

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, 653, 5531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 653 x 5,531 = 57,787,888

This can also be written as 24 x 6531 x 5,5311 = 57,787,888

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


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