Q: What are the prime factors of the number 1,391,655?

 A: 3, 5, 19, 257

Why are those the prime factors of the number 1,391,655?

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 1,391,655

1,391,655
Factor Arrows
3463,885
Factor Arrows
592,777
Factor Arrows
194,883
Factor Arrows
19257

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, 5, 19, 257

We can check our work by multiplying all of the prime factors together: 3 x 5 x 19 x 19 x 257 = 1,391,655

This can also be written as 31 x 51 x 192 x 2571 = 1,391,655

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


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