Q: What are the prime factors of the number 13,208,784?

 A: 2, 3, 275183

Why are those the prime factors of the number 13,208,784?

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 13,208,784

13,208,784
Factor Arrows
26,604,392
Factor Arrows
23,302,196
Factor Arrows
21,651,098
Factor Arrows
2825,549
Factor Arrows
3275,183

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, 275183

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 275,183 = 13,208,784

This can also be written as 24 x 31 x 275,1831 = 13,208,784

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


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