Q: What are the prime factors of the number 112,040,456?

 A: 2, 11, 29, 43, 1021

Why are those the prime factors of the number 112,040,456?

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 112,040,456

112,040,456
Factor Arrows
256,020,228
Factor Arrows
228,010,114
Factor Arrows
214,005,057
Factor Arrows
111,273,187
Factor Arrows
2943,903
Factor Arrows
431,021

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, 29, 43, 1021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 29 x 43 x 1,021 = 112,040,456

This can also be written as 23 x 111 x 291 x 431 x 1,0211 = 112,040,456

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


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