Q: What are the prime factors of the number 13,287,760?

 A: 2, 5, 163, 1019

Why are those the prime factors of the number 13,287,760?

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 13,287,760

13,287,760
Factor Arrows
26,643,880
Factor Arrows
23,321,940
Factor Arrows
21,660,970
Factor Arrows
2830,485
Factor Arrows
5166,097
Factor Arrows
1631,019

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, 5, 163, 1019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 163 x 1,019 = 13,287,760

This can also be written as 24 x 51 x 1631 x 1,0191 = 13,287,760

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


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