Q: What are the prime factors of the number 939,468?

 A: 2, 3, 79, 991

Why are those the prime factors of the number 939,468?

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 939,468

939,468
Factor Arrows
2469,734
Factor Arrows
2234,867
Factor Arrows
378,289
Factor Arrows
79991

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, 79, 991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 79 x 991 = 939,468

This can also be written as 22 x 31 x 791 x 9911 = 939,468

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


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