Q: What are the prime factors of the number 167,723,122?

 A: 2, 7, 17, 704719

Why are those the prime factors of the number 167,723,122?

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 167,723,122

167,723,122
Factor Arrows
283,861,561
Factor Arrows
711,980,223
Factor Arrows
17704,719

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, 17, 704719

We can check our work by multiplying all of the prime factors together: 2 x 7 x 17 x 704,719 = 167,723,122

This can also be written as 21 x 71 x 171 x 704,7191 = 167,723,122

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


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