Q: What are the prime factors of the number 1,310,656?

 A: 2, 20479

Why are those the prime factors of the number 1,310,656?

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 1,310,656

1,310,656
Factor Arrows
2655,328
Factor Arrows
2327,664
Factor Arrows
2163,832
Factor Arrows
281,916
Factor Arrows
240,958
Factor Arrows
220,479

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, 20479

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 20,479 = 1,310,656

This can also be written as 26 x 20,4791 = 1,310,656

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


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