Q: What are the prime factors of the number 87,337,827?

 A: 3, 167, 58109

Why are those the prime factors of the number 87,337,827?

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 87,337,827

87,337,827
Factor Arrows
329,112,609
Factor Arrows
39,704,203
Factor Arrows
16758,109

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, 167, 58109

We can check our work by multiplying all of the prime factors together: 3 x 3 x 167 x 58,109 = 87,337,827

This can also be written as 32 x 1671 x 58,1091 = 87,337,827

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


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