Q: What are the prime factors of the number 112,013,037?

 A: 3, 19, 8087

Why are those the prime factors of the number 112,013,037?

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 112,013,037

112,013,037
Factor Arrows
337,337,679
Factor Arrows
312,445,893
Factor Arrows
34,148,631
Factor Arrows
31,382,877
Factor Arrows
3460,959
Factor Arrows
3153,653
Factor Arrows
198,087

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:

3, 19, 8087

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 19 x 8,087 = 112,013,037

This can also be written as 36 x 191 x 8,0871 = 112,013,037

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


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