Q: What are the prime factors of the number 1,658,637?

 A: 3, 20477

Why are those the prime factors of the number 1,658,637?

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 1,658,637

1,658,637
Factor Arrows
3552,879
Factor Arrows
3184,293
Factor Arrows
361,431
Factor Arrows
320,477

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, 20477

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 20,477 = 1,658,637

This can also be written as 34 x 20,4771 = 1,658,637

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


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