Q: What are the prime factors of the number 358,911?

 A: 3, 7, 211

Why are those the prime factors of the number 358,911?

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 358,911

358,911
Factor Arrows
3119,637
Factor Arrows
339,879
Factor Arrows
313,293
Factor Arrows
34,431
Factor Arrows
31,477
Factor Arrows
7211

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, 7, 211

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 7 x 211 = 358,911

This can also be written as 35 x 71 x 2111 = 358,911

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


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