Q: What are the prime factors of the number 12,168,528?

 A: 2, 3, 79, 3209

Why are those the prime factors of the number 12,168,528?

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 12,168,528

12,168,528
Factor Arrows
26,084,264
Factor Arrows
23,042,132
Factor Arrows
21,521,066
Factor Arrows
2760,533
Factor Arrows
3253,511
Factor Arrows
793,209

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, 79, 3209

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 79 x 3,209 = 12,168,528

This can also be written as 24 x 31 x 791 x 3,2091 = 12,168,528

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


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