Q: What are the prime factors of the number 167,522,270?

 A: 2, 5, 29, 239, 2417

Why are those the prime factors of the number 167,522,270?

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 167,522,270

167,522,270
Factor Arrows
283,761,135
Factor Arrows
516,752,227
Factor Arrows
29577,663
Factor Arrows
2392,417

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, 5, 29, 239, 2417

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 239 x 2,417 = 167,522,270

This can also be written as 21 x 51 x 291 x 2391 x 2,4171 = 167,522,270

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


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