Q: What are the prime factors of the number 351,990?

 A: 2, 3, 5, 3911

Why are those the prime factors of the number 351,990?

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 351,990

351,990
Factor Arrows
2175,995
Factor Arrows
358,665
Factor Arrows
319,555
Factor Arrows
53,911

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, 5, 3911

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 3,911 = 351,990

This can also be written as 21 x 32 x 51 x 3,9111 = 351,990

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


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