Q: What are the prime factors of the number 10,709,118?

 A: 2, 3, 7, 41, 691

Why are those the prime factors of the number 10,709,118?

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 10,709,118

10,709,118
Factor Arrows
25,354,559
Factor Arrows
31,784,853
Factor Arrows
3594,951
Factor Arrows
3198,317
Factor Arrows
728,331
Factor Arrows
41691

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, 7, 41, 691

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 41 x 691 = 10,709,118

This can also be written as 21 x 33 x 71 x 411 x 6911 = 10,709,118

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


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