Q: What are the prime factors of the number 660,032?

 A: 2, 10313

Why are those the prime factors of the number 660,032?

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 660,032

660,032
Factor Arrows
2330,016
Factor Arrows
2165,008
Factor Arrows
282,504
Factor Arrows
241,252
Factor Arrows
220,626
Factor Arrows
210,313

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, 10313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 10,313 = 660,032

This can also be written as 26 x 10,3131 = 660,032

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


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