Q: What are the prime factors of the number 963,981?

 A: 3, 3967

Why are those the prime factors of the number 963,981?

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 963,981

963,981
Factor Arrows
3321,327
Factor Arrows
3107,109
Factor Arrows
335,703
Factor Arrows
311,901
Factor Arrows
33,967

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, 3967

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3,967 = 963,981

This can also be written as 35 x 3,9671 = 963,981

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


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