Q: What are the prime factors of the number 936,324?

 A: 2, 3, 31, 839

Why are those the prime factors of the number 936,324?

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 936,324

936,324
Factor Arrows
2468,162
Factor Arrows
2234,081
Factor Arrows
378,027
Factor Arrows
326,009
Factor Arrows
31839

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, 31, 839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 31 x 839 = 936,324

This can also be written as 22 x 32 x 311 x 8391 = 936,324

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


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