Q: What are the prime factors of the number 1,017,024?

 A: 2, 3, 5297

Why are those the prime factors of the number 1,017,024?

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 1,017,024

1,017,024
Factor Arrows
2508,512
Factor Arrows
2254,256
Factor Arrows
2127,128
Factor Arrows
263,564
Factor Arrows
231,782
Factor Arrows
215,891
Factor Arrows
35,297

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, 5297

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 3 x 5,297 = 1,017,024

This can also be written as 26 x 31 x 5,2971 = 1,017,024

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


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