Q: What are the prime factors of the number 852,096?

 A: 2, 3, 7, 317

Why are those the prime factors of the number 852,096?

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 852,096

852,096
Factor Arrows
2426,048
Factor Arrows
2213,024
Factor Arrows
2106,512
Factor Arrows
253,256
Factor Arrows
226,628
Factor Arrows
213,314
Factor Arrows
26,657
Factor Arrows
32,219
Factor Arrows
7317

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, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 317 = 852,096

This can also be written as 27 x 31 x 71 x 3171 = 852,096

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


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