Q: What are the prime factors of the number 88,690,688?

 A: 2, 59, 367

Why are those the prime factors of the number 88,690,688?

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 88,690,688

88,690,688
Factor Arrows
244,345,344
Factor Arrows
222,172,672
Factor Arrows
211,086,336
Factor Arrows
25,543,168
Factor Arrows
22,771,584
Factor Arrows
21,385,792
Factor Arrows
2692,896
Factor Arrows
2346,448
Factor Arrows
2173,224
Factor Arrows
286,612
Factor Arrows
243,306
Factor Arrows
221,653
Factor Arrows
59367

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, 59, 367

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 2 x 2 x 2 x 2 x 2 x 2 x 59 x 367 = 88,690,688

This can also be written as 212 x 591 x 3671 = 88,690,688

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


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