Q: What are the prime factors of the number 27,516,936?

 A: 2, 3, 1146539

Why are those the prime factors of the number 27,516,936?

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 27,516,936

27,516,936
Factor Arrows
213,758,468
Factor Arrows
26,879,234
Factor Arrows
23,439,617
Factor Arrows
31,146,539

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, 1146539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 1,146,539 = 27,516,936

This can also be written as 23 x 31 x 1,146,5391 = 27,516,936

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


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