Q: What are the prime factors of the number 66,720,486?

 A: 2, 3, 7, 193, 8231

Why are those the prime factors of the number 66,720,486?

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 66,720,486

66,720,486
Factor Arrows
233,360,243
Factor Arrows
311,120,081
Factor Arrows
71,588,583
Factor Arrows
1938,231

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, 7, 193, 8231

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 193 x 8,231 = 66,720,486

This can also be written as 21 x 31 x 71 x 1931 x 8,2311 = 66,720,486

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


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