Q: What are the prime factors of the number 968,412?

 A: 2, 3, 80701

Why are those the prime factors of the number 968,412?

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 968,412

968,412
Factor Arrows
2484,206
Factor Arrows
2242,103
Factor Arrows
380,701

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, 80701

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 80,701 = 968,412

This can also be written as 22 x 31 x 80,7011 = 968,412

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


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