Q: What are the prime factors of the number 111,392,192?

 A: 2, 1740503

Why are those the prime factors of the number 111,392,192?

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 111,392,192

111,392,192
Factor Arrows
255,696,096
Factor Arrows
227,848,048
Factor Arrows
213,924,024
Factor Arrows
26,962,012
Factor Arrows
23,481,006
Factor Arrows
21,740,503

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, 1740503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 1,740,503 = 111,392,192

This can also be written as 26 x 1,740,5031 = 111,392,192

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


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