Q: What are the prime factors of the number 1,006,992?

 A: 2, 3, 7, 37

Why are those the prime factors of the number 1,006,992?

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 1,006,992

1,006,992
Factor Arrows
2503,496
Factor Arrows
2251,748
Factor Arrows
2125,874
Factor Arrows
262,937
Factor Arrows
320,979
Factor Arrows
36,993
Factor Arrows
32,331
Factor Arrows
3777
Factor Arrows
3259
Factor Arrows
737

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, 7, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 37 = 1,006,992

This can also be written as 24 x 35 x 71 x 371 = 1,006,992

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


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