Q: What are the prime factors of the number 187,313,634?

 A: 2, 3, 128473

Why are those the prime factors of the number 187,313,634?

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 187,313,634

187,313,634
Factor Arrows
293,656,817
Factor Arrows
331,218,939
Factor Arrows
310,406,313
Factor Arrows
33,468,771
Factor Arrows
31,156,257
Factor Arrows
3385,419
Factor Arrows
3128,473

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, 128473

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 128,473 = 187,313,634

This can also be written as 21 x 36 x 128,4731 = 187,313,634

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


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