Q: What are the prime factors of the number 1,631,799?

 A: 3, 13, 4649

Why are those the prime factors of the number 1,631,799?

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 1,631,799

1,631,799
Factor Arrows
3543,933
Factor Arrows
3181,311
Factor Arrows
360,437
Factor Arrows
134,649

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:

3, 13, 4649

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 4,649 = 1,631,799

This can also be written as 33 x 131 x 4,6491 = 1,631,799

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


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