Q: What are the prime factors of the number 325,112,150?

 A: 2, 5, 11, 591113

Why are those the prime factors of the number 325,112,150?

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 325,112,150

325,112,150
Factor Arrows
2162,556,075
Factor Arrows
532,511,215
Factor Arrows
56,502,243
Factor Arrows
11591,113

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, 5, 11, 591113

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 11 x 591,113 = 325,112,150

This can also be written as 21 x 52 x 111 x 591,1131 = 325,112,150

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


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