Q: What are the prime factors of the number 934,332?

 A: 2, 3, 7, 227

Why are those the prime factors of the number 934,332?

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 934,332

934,332
Factor Arrows
2467,166
Factor Arrows
2233,583
Factor Arrows
377,861
Factor Arrows
711,123
Factor Arrows
71,589
Factor Arrows
7227

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, 7, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 7 x 227 = 934,332

This can also be written as 22 x 31 x 73 x 2271 = 934,332

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


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