Q: What are the prime factors of the number 113,644,377?

 A: 3, 7, 11, 19, 137

Why are those the prime factors of the number 113,644,377?

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 113,644,377

113,644,377
Factor Arrows
337,881,459
Factor Arrows
312,627,153
Factor Arrows
34,209,051
Factor Arrows
31,403,017
Factor Arrows
7200,431
Factor Arrows
728,633
Factor Arrows
112,603
Factor Arrows
19137

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:

3, 7, 11, 19, 137

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 7 x 11 x 19 x 137 = 113,644,377

This can also be written as 34 x 72 x 111 x 191 x 1371 = 113,644,377

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


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