Q: What are the prime factors of the number 66,906,060?

 A: 2, 3, 5, 13, 31, 2767

Why are those the prime factors of the number 66,906,060?

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 66,906,060

66,906,060
Factor Arrows
233,453,030
Factor Arrows
216,726,515
Factor Arrows
35,575,505
Factor Arrows
51,115,101
Factor Arrows
1385,777
Factor Arrows
312,767

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, 31, 2767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 31 x 2,767 = 66,906,060

This can also be written as 22 x 31 x 51 x 131 x 311 x 2,7671 = 66,906,060

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


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