Q: What are the prime factors of the number 13,200,507?

 A: 3, 127, 11549

Why are those the prime factors of the number 13,200,507?

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 13,200,507

13,200,507
Factor Arrows
34,400,169
Factor Arrows
31,466,723
Factor Arrows
12711,549

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:

3, 127, 11549

We can check our work by multiplying all of the prime factors together: 3 x 3 x 127 x 11,549 = 13,200,507

This can also be written as 32 x 1271 x 11,5491 = 13,200,507

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


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