Q: What are the prime factors of the number 112,013,020?

 A: 2, 5, 7, 114299

Why are those the prime factors of the number 112,013,020?

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 112,013,020

112,013,020
Factor Arrows
256,006,510
Factor Arrows
228,003,255
Factor Arrows
55,600,651
Factor Arrows
7800,093
Factor Arrows
7114,299

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, 5, 7, 114299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 114,299 = 112,013,020

This can also be written as 22 x 51 x 72 x 114,2991 = 112,013,020

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


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