Q: What are the prime factors of the number 4,168,528?

 A: 2, 7, 13, 409

Why are those the prime factors of the number 4,168,528?

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 4,168,528

4,168,528
Factor Arrows
22,084,264
Factor Arrows
21,042,132
Factor Arrows
2521,066
Factor Arrows
2260,533
Factor Arrows
737,219
Factor Arrows
75,317
Factor Arrows
13409

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, 7, 13, 409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 13 x 409 = 4,168,528

This can also be written as 24 x 72 x 131 x 4091 = 4,168,528

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


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