Q: What are the prime factors of the number 15,236,060?

 A: 2, 5, 7, 2221

Why are those the prime factors of the number 15,236,060?

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 15,236,060

15,236,060
Factor Arrows
27,618,030
Factor Arrows
23,809,015
Factor Arrows
5761,803
Factor Arrows
7108,829
Factor Arrows
715,547
Factor Arrows
72,221

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, 7, 2221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 7 x 2,221 = 15,236,060

This can also be written as 22 x 51 x 73 x 2,2211 = 15,236,060

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


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