Q: What are the prime factors of the number 572,388,816?

 A: 2, 3, 37, 101, 3191

Why are those the prime factors of the number 572,388,816?

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 572,388,816

572,388,816
Factor Arrows
2286,194,408
Factor Arrows
2143,097,204
Factor Arrows
271,548,602
Factor Arrows
235,774,301
Factor Arrows
311,924,767
Factor Arrows
37322,291
Factor Arrows
1013,191

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, 37, 101, 3191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 37 x 101 x 3,191 = 572,388,816

This can also be written as 24 x 31 x 371 x 1011 x 3,1911 = 572,388,816

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


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