Q: What are the prime factors of the number 112,002,316?

 A: 2, 47, 127, 4691

Why are those the prime factors of the number 112,002,316?

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 112,002,316

112,002,316
Factor Arrows
256,001,158
Factor Arrows
228,000,579
Factor Arrows
47595,757
Factor Arrows
1274,691

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, 47, 127, 4691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 47 x 127 x 4,691 = 112,002,316

This can also be written as 22 x 471 x 1271 x 4,6911 = 112,002,316

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


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