Q: What are the prime factors of the number 136,786,704?

 A: 2, 3, 23, 5387

Why are those the prime factors of the number 136,786,704?

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 136,786,704

136,786,704
Factor Arrows
268,393,352
Factor Arrows
234,196,676
Factor Arrows
217,098,338
Factor Arrows
28,549,169
Factor Arrows
32,849,723
Factor Arrows
23123,901
Factor Arrows
235,387

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, 3, 23, 5387

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 23 x 23 x 5,387 = 136,786,704

This can also be written as 24 x 31 x 232 x 5,3871 = 136,786,704

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


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