Q: What are the prime factors of the number 296,720?

 A: 2, 5, 3709

Why are those the prime factors of the number 296,720?

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 296,720

296,720
Factor Arrows
2148,360
Factor Arrows
274,180
Factor Arrows
237,090
Factor Arrows
218,545
Factor Arrows
53,709

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, 3709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 3,709 = 296,720

This can also be written as 24 x 51 x 3,7091 = 296,720

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


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