Q: What are the prime factors of the number 151,045,020?

 A: 2, 3, 5, 7, 31, 1289

Why are those the prime factors of the number 151,045,020?

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 151,045,020

151,045,020
Factor Arrows
275,522,510
Factor Arrows
237,761,255
Factor Arrows
312,587,085
Factor Arrows
34,195,695
Factor Arrows
31,398,565
Factor Arrows
5279,713
Factor Arrows
739,959
Factor Arrows
311,289

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, 31, 1289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 7 x 31 x 1,289 = 151,045,020

This can also be written as 22 x 33 x 51 x 71 x 311 x 1,2891 = 151,045,020

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


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