Q: What are the prime factors of the number 325,010,112?

 A: 2, 3, 7, 241823

Why are those the prime factors of the number 325,010,112?

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 325,010,112

325,010,112
Factor Arrows
2162,505,056
Factor Arrows
281,252,528
Factor Arrows
240,626,264
Factor Arrows
220,313,132
Factor Arrows
210,156,566
Factor Arrows
25,078,283
Factor Arrows
31,692,761
Factor Arrows
7241,823

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, 7, 241823

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 3 x 7 x 241,823 = 325,010,112

This can also be written as 26 x 31 x 71 x 241,8231 = 325,010,112

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


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