Q: What are the prime factors of the number 1,006,976?

 A: 2, 7867

Why are those the prime factors of the number 1,006,976?

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 1,006,976

1,006,976
Factor Arrows
2503,488
Factor Arrows
2251,744
Factor Arrows
2125,872
Factor Arrows
262,936
Factor Arrows
231,468
Factor Arrows
215,734
Factor Arrows
27,867

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, 7867

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 7,867 = 1,006,976

This can also be written as 27 x 7,8671 = 1,006,976

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


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