Q: What are the prime factors of the number 66,615,540?

 A: 2, 3, 5, 37, 811

Why are those the prime factors of the number 66,615,540?

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 66,615,540

66,615,540
Factor Arrows
233,307,770
Factor Arrows
216,653,885
Factor Arrows
35,551,295
Factor Arrows
51,110,259
Factor Arrows
3730,007
Factor Arrows
37811

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, 37, 811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 37 x 37 x 811 = 66,615,540

This can also be written as 22 x 31 x 51 x 372 x 8111 = 66,615,540

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


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