Q: What are the prime factors of the number 4,526,985?

 A: 3, 5, 89, 3391

Why are those the prime factors of the number 4,526,985?

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 4,526,985

4,526,985
Factor Arrows
31,508,995
Factor Arrows
5301,799
Factor Arrows
893,391

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:

3, 5, 89, 3391

We can check our work by multiplying all of the prime factors together: 3 x 5 x 89 x 3,391 = 4,526,985

This can also be written as 31 x 51 x 891 x 3,3911 = 4,526,985

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


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