Q: What are the prime factors of the number 1,499,940?

 A: 2, 3, 5, 13, 641

Why are those the prime factors of the number 1,499,940?

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 1,499,940

1,499,940
Factor Arrows
2749,970
Factor Arrows
2374,985
Factor Arrows
3124,995
Factor Arrows
341,665
Factor Arrows
58,333
Factor Arrows
13641

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, 5, 13, 641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 13 x 641 = 1,499,940

This can also be written as 22 x 32 x 51 x 131 x 6411 = 1,499,940

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


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