Q: What are the prime factors of the number 188,747,872?

 A: 2, 17, 346963

Why are those the prime factors of the number 188,747,872?

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 188,747,872

188,747,872
Factor Arrows
294,373,936
Factor Arrows
247,186,968
Factor Arrows
223,593,484
Factor Arrows
211,796,742
Factor Arrows
25,898,371
Factor Arrows
17346,963

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, 17, 346963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 346,963 = 188,747,872

This can also be written as 25 x 171 x 346,9631 = 188,747,872

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


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