Q: What are the prime factors of the number 111,520,352?

 A: 2, 3485011

Why are those the prime factors of the number 111,520,352?

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 111,520,352

111,520,352
Factor Arrows
255,760,176
Factor Arrows
227,880,088
Factor Arrows
213,940,044
Factor Arrows
26,970,022
Factor Arrows
23,485,011

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, 3485011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3,485,011 = 111,520,352

This can also be written as 25 x 3,485,0111 = 111,520,352

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


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