Q: What are the prime factors of the number 115,432,533?

 A: 3, 17, 27943

Why are those the prime factors of the number 115,432,533?

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 115,432,533

115,432,533
Factor Arrows
338,477,511
Factor Arrows
312,825,837
Factor Arrows
34,275,279
Factor Arrows
31,425,093
Factor Arrows
3475,031
Factor Arrows
1727,943

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, 17, 27943

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 17 x 27,943 = 115,432,533

This can also be written as 35 x 171 x 27,9431 = 115,432,533

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


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