Q: What are the prime factors of the number 358,740?

 A: 2, 3, 5, 1993

Why are those the prime factors of the number 358,740?

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 358,740

358,740
Factor Arrows
2179,370
Factor Arrows
289,685
Factor Arrows
329,895
Factor Arrows
39,965
Factor Arrows
51,993

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, 1993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 1,993 = 358,740

This can also be written as 22 x 32 x 51 x 1,9931 = 358,740

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


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