Q: What are the prime factors of the number 113,303,360?

 A: 2, 5, 354073

Why are those the prime factors of the number 113,303,360?

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 113,303,360

113,303,360
Factor Arrows
256,651,680
Factor Arrows
228,325,840
Factor Arrows
214,162,920
Factor Arrows
27,081,460
Factor Arrows
23,540,730
Factor Arrows
21,770,365
Factor Arrows
5354,073

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, 354073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 354,073 = 113,303,360

This can also be written as 26 x 51 x 354,0731 = 113,303,360

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


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