Q: What are the prime factors of the number 89,360,613?

 A: 3, 79, 125683

Why are those the prime factors of the number 89,360,613?

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 89,360,613

89,360,613
Factor Arrows
329,786,871
Factor Arrows
39,928,957
Factor Arrows
79125,683

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, 79, 125683

We can check our work by multiplying all of the prime factors together: 3 x 3 x 79 x 125,683 = 89,360,613

This can also be written as 32 x 791 x 125,6831 = 89,360,613

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


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