Q: What are the prime factors of the number 637,703,136?

 A: 2, 3, 7, 316321

Why are those the prime factors of the number 637,703,136?

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 637,703,136

637,703,136
Factor Arrows
2318,851,568
Factor Arrows
2159,425,784
Factor Arrows
279,712,892
Factor Arrows
239,856,446
Factor Arrows
219,928,223
Factor Arrows
36,642,741
Factor Arrows
32,214,247
Factor Arrows
7316,321

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, 7, 316321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 316,321 = 637,703,136

This can also be written as 25 x 32 x 71 x 316,3211 = 637,703,136

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


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