Q: What are the prime factors of the number 91,341,096?

 A: 2, 3, 7, 11, 23, 307

Why are those the prime factors of the number 91,341,096?

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 91,341,096

91,341,096
Factor Arrows
245,670,548
Factor Arrows
222,835,274
Factor Arrows
211,417,637
Factor Arrows
33,805,879
Factor Arrows
7543,697
Factor Arrows
777,671
Factor Arrows
117,061
Factor Arrows
23307

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, 11, 23, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 7 x 11 x 23 x 307 = 91,341,096

This can also be written as 23 x 31 x 72 x 111 x 231 x 3071 = 91,341,096

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


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