Q: What are the prime factors of the number 486,885?

 A: 3, 5, 7, 4637

Why are those the prime factors of the number 486,885?

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 486,885

486,885
Factor Arrows
3162,295
Factor Arrows
532,459
Factor Arrows
74,637

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, 4637

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 4,637 = 486,885

This can also be written as 31 x 51 x 71 x 4,6371 = 486,885

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


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