Q: What are the prime factors of the number 207,406,720?

 A: 2, 5, 324073

Why are those the prime factors of the number 207,406,720?

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 207,406,720

207,406,720
Factor Arrows
2103,703,360
Factor Arrows
251,851,680
Factor Arrows
225,925,840
Factor Arrows
212,962,920
Factor Arrows
26,481,460
Factor Arrows
23,240,730
Factor Arrows
21,620,365
Factor Arrows
5324,073

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, 324073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 324,073 = 207,406,720

This can also be written as 27 x 51 x 324,0731 = 207,406,720

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


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