Q: What are the prime factors of the number 10,910,916?

 A: 2, 3, 101027

Why are those the prime factors of the number 10,910,916?

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 10,910,916

10,910,916
Factor Arrows
25,455,458
Factor Arrows
22,727,729
Factor Arrows
3909,243
Factor Arrows
3303,081
Factor Arrows
3101,027

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, 101027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 101,027 = 10,910,916

This can also be written as 22 x 33 x 101,0271 = 10,910,916

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


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