Q: What are the prime factors of the number 207,074,730?

 A: 2, 3, 5, 19, 31, 11719

Why are those the prime factors of the number 207,074,730?

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 207,074,730

207,074,730
Factor Arrows
2103,537,365
Factor Arrows
334,512,455
Factor Arrows
56,902,491
Factor Arrows
19363,289
Factor Arrows
3111,719

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, 3, 5, 19, 31, 11719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 19 x 31 x 11,719 = 207,074,730

This can also be written as 21 x 31 x 51 x 191 x 311 x 11,7191 = 207,074,730

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


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