Q: What are the prime factors of the number 167,287,876?

 A: 2, 7, 479, 12473

Why are those the prime factors of the number 167,287,876?

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 167,287,876

167,287,876
Factor Arrows
283,643,938
Factor Arrows
241,821,969
Factor Arrows
75,974,567
Factor Arrows
47912,473

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, 7, 479, 12473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 479 x 12,473 = 167,287,876

This can also be written as 22 x 71 x 4791 x 12,4731 = 167,287,876

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


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