Q: What are the prime factors of the number 15,343,720?

 A: 2, 5, 7, 54799

Why are those the prime factors of the number 15,343,720?

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 15,343,720

15,343,720
Factor Arrows
27,671,860
Factor Arrows
23,835,930
Factor Arrows
21,917,965
Factor Arrows
5383,593
Factor Arrows
754,799

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, 7, 54799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 54,799 = 15,343,720

This can also be written as 23 x 51 x 71 x 54,7991 = 15,343,720

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


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