Q: What are the prime factors of the number 1,630,392?

 A: 2, 3, 67933

Why are those the prime factors of the number 1,630,392?

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 1,630,392

1,630,392
Factor Arrows
2815,196
Factor Arrows
2407,598
Factor Arrows
2203,799
Factor Arrows
367,933

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, 67933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 67,933 = 1,630,392

This can also be written as 23 x 31 x 67,9331 = 1,630,392

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


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