Q: What are the prime factors of the number 13,366,528?

 A: 2, 7, 7459

Why are those the prime factors of the number 13,366,528?

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 13,366,528

13,366,528
Factor Arrows
26,683,264
Factor Arrows
23,341,632
Factor Arrows
21,670,816
Factor Arrows
2835,408
Factor Arrows
2417,704
Factor Arrows
2208,852
Factor Arrows
2104,426
Factor Arrows
252,213
Factor Arrows
77,459

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, 7, 7459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7,459 = 13,366,528

This can also be written as 28 x 71 x 7,4591 = 13,366,528

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


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