Q: What are the prime factors of the number 113,504,013?

 A: 3, 7, 47, 38333

Why are those the prime factors of the number 113,504,013?

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 113,504,013

113,504,013
Factor Arrows
337,834,671
Factor Arrows
312,611,557
Factor Arrows
71,801,651
Factor Arrows
4738,333

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, 47, 38333

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 47 x 38,333 = 113,504,013

This can also be written as 32 x 71 x 471 x 38,3331 = 113,504,013

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


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