Q: What are the prime factors of the number 35,721,660?

 A: 2, 3, 5, 13, 41, 1117

Why are those the prime factors of the number 35,721,660?

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 35,721,660

35,721,660
Factor Arrows
217,860,830
Factor Arrows
28,930,415
Factor Arrows
32,976,805
Factor Arrows
5595,361
Factor Arrows
1345,797
Factor Arrows
411,117

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, 5, 13, 41, 1117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 41 x 1,117 = 35,721,660

This can also be written as 22 x 31 x 51 x 131 x 411 x 1,1171 = 35,721,660

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


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