Q: What are the prime factors of the number 5,090,700?

 A: 2, 3, 5, 71, 239

Why are those the prime factors of the number 5,090,700?

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 5,090,700

5,090,700
Factor Arrows
22,545,350
Factor Arrows
21,272,675
Factor Arrows
3424,225
Factor Arrows
584,845
Factor Arrows
516,969
Factor Arrows
71239

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, 71, 239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 71 x 239 = 5,090,700

This can also be written as 22 x 31 x 52 x 711 x 2391 = 5,090,700

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


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