Q: What are the prime factors of the number 1,233,981?

 A: 3, 7, 6529

Why are those the prime factors of the number 1,233,981?

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 1,233,981

1,233,981
Factor Arrows
3411,327
Factor Arrows
3137,109
Factor Arrows
345,703
Factor Arrows
76,529

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:

3, 7, 6529

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 6,529 = 1,233,981

This can also be written as 33 x 71 x 6,5291 = 1,233,981

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


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