Q: What are the prime factors of the number 88,555,840?

 A: 2, 5, 31, 79, 113

Why are those the prime factors of the number 88,555,840?

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 88,555,840

88,555,840
Factor Arrows
244,277,920
Factor Arrows
222,138,960
Factor Arrows
211,069,480
Factor Arrows
25,534,740
Factor Arrows
22,767,370
Factor Arrows
21,383,685
Factor Arrows
5276,737
Factor Arrows
318,927
Factor Arrows
79113

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, 31, 79, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31 x 79 x 113 = 88,555,840

This can also be written as 26 x 51 x 311 x 791 x 1131 = 88,555,840

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


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