Q: What are the prime factors of the number 115,064,500?

 A: 2, 5, 17, 13537

Why are those the prime factors of the number 115,064,500?

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 115,064,500

115,064,500
Factor Arrows
257,532,250
Factor Arrows
228,766,125
Factor Arrows
55,753,225
Factor Arrows
51,150,645
Factor Arrows
5230,129
Factor Arrows
1713,537

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, 17, 13537

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 17 x 13,537 = 115,064,500

This can also be written as 22 x 53 x 171 x 13,5371 = 115,064,500

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


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