Q: What are the prime factors of the number 11,063,504?

 A: 2, 71, 9739

Why are those the prime factors of the number 11,063,504?

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 11,063,504

11,063,504
Factor Arrows
25,531,752
Factor Arrows
22,765,876
Factor Arrows
21,382,938
Factor Arrows
2691,469
Factor Arrows
719,739

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, 71, 9739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 71 x 9,739 = 11,063,504

This can also be written as 24 x 711 x 9,7391 = 11,063,504

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


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