Q: What are the prime factors of the number 189,497,288?

 A: 2, 23687161

Why are those the prime factors of the number 189,497,288?

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 189,497,288

189,497,288
Factor Arrows
294,748,644
Factor Arrows
247,374,322
Factor Arrows
223,687,161

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, 23687161

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23,687,161 = 189,497,288

This can also be written as 23 x 23,687,1611 = 189,497,288

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


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