Q: What are the prime factors of the number 66,452,324?

 A: 2, 421, 39461

Why are those the prime factors of the number 66,452,324?

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 66,452,324

66,452,324
Factor Arrows
233,226,162
Factor Arrows
216,613,081
Factor Arrows
42139,461

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, 421, 39461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 421 x 39,461 = 66,452,324

This can also be written as 22 x 4211 x 39,4611 = 66,452,324

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


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