Q: What are the prime factors of the number 113,413,536?

 A: 2, 3, 393797

Why are those the prime factors of the number 113,413,536?

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 113,413,536

113,413,536
Factor Arrows
256,706,768
Factor Arrows
228,353,384
Factor Arrows
214,176,692
Factor Arrows
27,088,346
Factor Arrows
23,544,173
Factor Arrows
31,181,391
Factor Arrows
3393,797

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, 393797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 393,797 = 113,413,536

This can also be written as 25 x 32 x 393,7971 = 113,413,536

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


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