Q: What are the prime factors of the number 11,352,615?

 A: 3, 5, 47, 16103

Why are those the prime factors of the number 11,352,615?

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 11,352,615

11,352,615
Factor Arrows
33,784,205
Factor Arrows
5756,841
Factor Arrows
4716,103

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, 5, 47, 16103

We can check our work by multiplying all of the prime factors together: 3 x 5 x 47 x 16,103 = 11,352,615

This can also be written as 31 x 51 x 471 x 16,1031 = 11,352,615

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


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