Q: What are the prime factors of the number 66,310,164?

 A: 2, 3, 103, 1987

Why are those the prime factors of the number 66,310,164?

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 66,310,164

66,310,164
Factor Arrows
233,155,082
Factor Arrows
216,577,541
Factor Arrows
35,525,847
Factor Arrows
31,841,949
Factor Arrows
3613,983
Factor Arrows
3204,661
Factor Arrows
1031,987

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, 103, 1987

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 103 x 1,987 = 66,310,164

This can also be written as 22 x 34 x 1031 x 1,9871 = 66,310,164

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


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