Q: What are the prime factors of the number 66,863,744?

 A: 2, 522373

Why are those the prime factors of the number 66,863,744?

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 66,863,744

66,863,744
Factor Arrows
233,431,872
Factor Arrows
216,715,936
Factor Arrows
28,357,968
Factor Arrows
24,178,984
Factor Arrows
22,089,492
Factor Arrows
21,044,746
Factor Arrows
2522,373

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, 522373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 522,373 = 66,863,744

This can also be written as 27 x 522,3731 = 66,863,744

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


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