Q: What are the prime factors of the number 94,744,872?

 A: 2, 3, 1315901

Why are those the prime factors of the number 94,744,872?

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 94,744,872

94,744,872
Factor Arrows
247,372,436
Factor Arrows
223,686,218
Factor Arrows
211,843,109
Factor Arrows
33,947,703
Factor Arrows
31,315,901

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, 1315901

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 1,315,901 = 94,744,872

This can also be written as 23 x 32 x 1,315,9011 = 94,744,872

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


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