Q: What are the prime factors of the number 167,047,020?

 A: 2, 3, 5, 7, 233, 569

Why are those the prime factors of the number 167,047,020?

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 167,047,020

167,047,020
Factor Arrows
283,523,510
Factor Arrows
241,761,755
Factor Arrows
313,920,585
Factor Arrows
34,640,195
Factor Arrows
5928,039
Factor Arrows
7132,577
Factor Arrows
233569

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, 5, 7, 233, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 7 x 233 x 569 = 167,047,020

This can also be written as 22 x 32 x 51 x 71 x 2331 x 5691 = 167,047,020

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


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