Q: What are the prime factors of the number 826,528?

 A: 2, 23, 1123

Why are those the prime factors of the number 826,528?

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 826,528

826,528
Factor Arrows
2413,264
Factor Arrows
2206,632
Factor Arrows
2103,316
Factor Arrows
251,658
Factor Arrows
225,829
Factor Arrows
231,123

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, 23, 1123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 23 x 1,123 = 826,528

This can also be written as 25 x 231 x 1,1231 = 826,528

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


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