Q: What are the prime factors of the number 934,828?

 A: 2, 103, 2269

Why are those the prime factors of the number 934,828?

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 934,828

934,828
Factor Arrows
2467,414
Factor Arrows
2233,707
Factor Arrows
1032,269

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, 103, 2269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 103 x 2,269 = 934,828

This can also be written as 22 x 1031 x 2,2691 = 934,828

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


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