Q: What are the prime factors of the number 956,704?

 A: 2, 7, 4271

Why are those the prime factors of the number 956,704?

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 956,704

956,704
Factor Arrows
2478,352
Factor Arrows
2239,176
Factor Arrows
2119,588
Factor Arrows
259,794
Factor Arrows
229,897
Factor Arrows
74,271

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, 7, 4271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 4,271 = 956,704

This can also be written as 25 x 71 x 4,2711 = 956,704

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


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