Q: What are the prime factors of the number 11,115,008?

 A: 2, 17, 1277

Why are those the prime factors of the number 11,115,008?

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 11,115,008

11,115,008
Factor Arrows
25,557,504
Factor Arrows
22,778,752
Factor Arrows
21,389,376
Factor Arrows
2694,688
Factor Arrows
2347,344
Factor Arrows
2173,672
Factor Arrows
286,836
Factor Arrows
243,418
Factor Arrows
221,709
Factor Arrows
171,277

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, 17, 1277

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 2 x 17 x 1,277 = 11,115,008

This can also be written as 29 x 171 x 1,2771 = 11,115,008

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


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