Q: What are the prime factors of the number 985,024?

 A: 2, 15391

Why are those the prime factors of the number 985,024?

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 985,024

985,024
Factor Arrows
2492,512
Factor Arrows
2246,256
Factor Arrows
2123,128
Factor Arrows
261,564
Factor Arrows
230,782
Factor Arrows
215,391

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, 15391

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 15,391 = 985,024

This can also be written as 26 x 15,3911 = 985,024

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


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