Q: What are the prime factors of the number 115,515,920?

 A: 2, 5, 13, 31, 3583

Why are those the prime factors of the number 115,515,920?

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 115,515,920

115,515,920
Factor Arrows
257,757,960
Factor Arrows
228,878,980
Factor Arrows
214,439,490
Factor Arrows
27,219,745
Factor Arrows
51,443,949
Factor Arrows
13111,073
Factor Arrows
313,583

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, 13, 31, 3583

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 31 x 3,583 = 115,515,920

This can also be written as 24 x 51 x 131 x 311 x 3,5831 = 115,515,920

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


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