Q: What are the prime factors of the number 112,013,022?

 A: 2, 3, 11, 29, 43, 1361

Why are those the prime factors of the number 112,013,022?

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 112,013,022

112,013,022
Factor Arrows
256,006,511
Factor Arrows
318,668,837
Factor Arrows
111,697,167
Factor Arrows
2958,523
Factor Arrows
431,361

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, 11, 29, 43, 1361

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 29 x 43 x 1,361 = 112,013,022

This can also be written as 21 x 31 x 111 x 291 x 431 x 1,3611 = 112,013,022

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


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