Q: What are the prime factors of the number 66,126,620?

 A: 2, 5, 7, 472333

Why are those the prime factors of the number 66,126,620?

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 66,126,620

66,126,620
Factor Arrows
233,063,310
Factor Arrows
216,531,655
Factor Arrows
53,306,331
Factor Arrows
7472,333

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, 5, 7, 472333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 472,333 = 66,126,620

This can also be written as 22 x 51 x 71 x 472,3331 = 66,126,620

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


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