Q: What are the prime factors of the number 112,145,514?

 A: 2, 3, 13, 641, 2243

Why are those the prime factors of the number 112,145,514?

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 112,145,514

112,145,514
Factor Arrows
256,072,757
Factor Arrows
318,690,919
Factor Arrows
131,437,763
Factor Arrows
6412,243

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, 13, 641, 2243

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 641 x 2,243 = 112,145,514

This can also be written as 21 x 31 x 131 x 6411 x 2,2431 = 112,145,514

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


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