Q: What are the prime factors of the number 482,822,872?

 A: 2, 7, 1231691

Why are those the prime factors of the number 482,822,872?

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 482,822,872

482,822,872
Factor Arrows
2241,411,436
Factor Arrows
2120,705,718
Factor Arrows
260,352,859
Factor Arrows
78,621,837
Factor Arrows
71,231,691

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, 7, 1231691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 1,231,691 = 482,822,872

This can also be written as 23 x 72 x 1,231,6911 = 482,822,872

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


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