Q: What are the prime factors of the number 790,668?

 A: 2, 3, 7321

Why are those the prime factors of the number 790,668?

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 790,668

790,668
Factor Arrows
2395,334
Factor Arrows
2197,667
Factor Arrows
365,889
Factor Arrows
321,963
Factor Arrows
37,321

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, 7321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7,321 = 790,668

This can also be written as 22 x 33 x 7,3211 = 790,668

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


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