Q: What are the prime factors of the number 111,011,424?

 A: 2, 3, 1156369

Why are those the prime factors of the number 111,011,424?

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 111,011,424

111,011,424
Factor Arrows
255,505,712
Factor Arrows
227,752,856
Factor Arrows
213,876,428
Factor Arrows
26,938,214
Factor Arrows
23,469,107
Factor Arrows
31,156,369

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, 3, 1156369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 1,156,369 = 111,011,424

This can also be written as 25 x 31 x 1,156,3691 = 111,011,424

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


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