Q: What are the prime factors of the number 65,751,660?

 A: 2, 3, 5, 13, 28099

Why are those the prime factors of the number 65,751,660?

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 65,751,660

65,751,660
Factor Arrows
232,875,830
Factor Arrows
216,437,915
Factor Arrows
35,479,305
Factor Arrows
31,826,435
Factor Arrows
5365,287
Factor Arrows
1328,099

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, 28099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 13 x 28,099 = 65,751,660

This can also be written as 22 x 32 x 51 x 131 x 28,0991 = 65,751,660

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


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