Q: What are the prime factors of the number 187,255,112?

 A: 2, 11, 733, 2903

Why are those the prime factors of the number 187,255,112?

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 187,255,112

187,255,112
Factor Arrows
293,627,556
Factor Arrows
246,813,778
Factor Arrows
223,406,889
Factor Arrows
112,127,899
Factor Arrows
7332,903

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, 11, 733, 2903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 733 x 2,903 = 187,255,112

This can also be written as 23 x 111 x 7331 x 2,9031 = 187,255,112

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


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