Q: What are the prime factors of the number 1,665,036?

 A: 2, 3, 571

Why are those the prime factors of the number 1,665,036?

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 1,665,036

1,665,036
Factor Arrows
2832,518
Factor Arrows
2416,259
Factor Arrows
3138,753
Factor Arrows
346,251
Factor Arrows
315,417
Factor Arrows
35,139
Factor Arrows
31,713
Factor Arrows
3571

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, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 571 = 1,665,036

This can also be written as 22 x 36 x 5711 = 1,665,036

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


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