Q: What are the prime factors of the number 4,891,328?

 A: 2, 13, 5879

Why are those the prime factors of the number 4,891,328?

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 4,891,328

4,891,328
Factor Arrows
22,445,664
Factor Arrows
21,222,832
Factor Arrows
2611,416
Factor Arrows
2305,708
Factor Arrows
2152,854
Factor Arrows
276,427
Factor Arrows
135,879

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, 13, 5879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 13 x 5,879 = 4,891,328

This can also be written as 26 x 131 x 5,8791 = 4,891,328

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


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