Q: What are the prime factors of the number 113,680,040?

 A: 2, 5, 19, 149579

Why are those the prime factors of the number 113,680,040?

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 113,680,040

113,680,040
Factor Arrows
256,840,020
Factor Arrows
228,420,010
Factor Arrows
214,210,005
Factor Arrows
52,842,001
Factor Arrows
19149,579

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, 19, 149579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 149,579 = 113,680,040

This can also be written as 23 x 51 x 191 x 149,5791 = 113,680,040

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


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