Q: What are the prime factors of the number 66,536,560?

 A: 2, 5, 831707

Why are those the prime factors of the number 66,536,560?

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 66,536,560

66,536,560
Factor Arrows
233,268,280
Factor Arrows
216,634,140
Factor Arrows
28,317,070
Factor Arrows
24,158,535
Factor Arrows
5831,707

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, 831707

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 831,707 = 66,536,560

This can also be written as 24 x 51 x 831,7071 = 66,536,560

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


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