Q: What are the prime factors of the number 890,772?

 A: 2, 3, 74231

Why are those the prime factors of the number 890,772?

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 890,772

890,772
Factor Arrows
2445,386
Factor Arrows
2222,693
Factor Arrows
374,231

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, 74231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 74,231 = 890,772

This can also be written as 22 x 31 x 74,2311 = 890,772

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


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