Q: What are the prime factors of the number 13,154,472?

 A: 2, 3, 182701

Why are those the prime factors of the number 13,154,472?

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 13,154,472

13,154,472
Factor Arrows
26,577,236
Factor Arrows
23,288,618
Factor Arrows
21,644,309
Factor Arrows
3548,103
Factor Arrows
3182,701

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, 182701

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 182,701 = 13,154,472

This can also be written as 23 x 32 x 182,7011 = 13,154,472

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


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