Q: What are the prime factors of the number 382,627,026?

 A: 2, 3, 137, 155161

Why are those the prime factors of the number 382,627,026?

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 382,627,026

382,627,026
Factor Arrows
2191,313,513
Factor Arrows
363,771,171
Factor Arrows
321,257,057
Factor Arrows
137155,161

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, 137, 155161

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 137 x 155,161 = 382,627,026

This can also be written as 21 x 32 x 1371 x 155,1611 = 382,627,026

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


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