Q: What are the prime factors of the number 115,062,636?

 A: 2, 3, 13, 56737

Why are those the prime factors of the number 115,062,636?

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 115,062,636

115,062,636
Factor Arrows
257,531,318
Factor Arrows
228,765,659
Factor Arrows
39,588,553
Factor Arrows
13737,581
Factor Arrows
1356,737

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, 3, 13, 56737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 13 x 56,737 = 115,062,636

This can also be written as 22 x 31 x 132 x 56,7371 = 115,062,636

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


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