Q: What are the prime factors of the number 13,121,232?

 A: 2, 3, 273359

Why are those the prime factors of the number 13,121,232?

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 13,121,232

13,121,232
Factor Arrows
26,560,616
Factor Arrows
23,280,308
Factor Arrows
21,640,154
Factor Arrows
2820,077
Factor Arrows
3273,359

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, 273359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 273,359 = 13,121,232

This can also be written as 24 x 31 x 273,3591 = 13,121,232

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


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