Q: What are the prime factors of the number 1,694,790?

 A: 2, 3, 5, 6277

Why are those the prime factors of the number 1,694,790?

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 1,694,790

1,694,790
Factor Arrows
2847,395
Factor Arrows
3282,465
Factor Arrows
394,155
Factor Arrows
331,385
Factor Arrows
56,277

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, 6277

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 6,277 = 1,694,790

This can also be written as 21 x 33 x 51 x 6,2771 = 1,694,790

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


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