Q: What are the prime factors of the number 843,675?

 A: 3, 5, 7, 1607

Why are those the prime factors of the number 843,675?

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 843,675

843,675
Factor Arrows
3281,225
Factor Arrows
556,245
Factor Arrows
511,249
Factor Arrows
71,607

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, 7, 1607

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 1,607 = 843,675

This can also be written as 31 x 52 x 71 x 1,6071 = 843,675

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


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