Q: What are the prime factors of the number 230,110,112?

 A: 2, 7190941

Why are those the prime factors of the number 230,110,112?

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 230,110,112

230,110,112
Factor Arrows
2115,055,056
Factor Arrows
257,527,528
Factor Arrows
228,763,764
Factor Arrows
214,381,882
Factor Arrows
27,190,941

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, 7190941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7,190,941 = 230,110,112

This can also be written as 25 x 7,190,9411 = 230,110,112

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


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