Q: What are the prime factors of the number 631,156,162?

 A: 2, 7, 13, 495413

Why are those the prime factors of the number 631,156,162?

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 631,156,162

631,156,162
Factor Arrows
2315,578,081
Factor Arrows
745,082,583
Factor Arrows
76,440,369
Factor Arrows
13495,413

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, 7, 13, 495413

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 13 x 495,413 = 631,156,162

This can also be written as 21 x 72 x 131 x 495,4131 = 631,156,162

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


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