Q: What are the prime factors of the number 1,250,856?

 A: 2, 3, 5791

Why are those the prime factors of the number 1,250,856?

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 1,250,856

1,250,856
Factor Arrows
2625,428
Factor Arrows
2312,714
Factor Arrows
2156,357
Factor Arrows
352,119
Factor Arrows
317,373
Factor Arrows
35,791

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, 5791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5,791 = 1,250,856

This can also be written as 23 x 33 x 5,7911 = 1,250,856

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


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