Q: What are the prime factors of the number 11,206,727?

 A: 7, 23, 47, 1481

Why are those the prime factors of the number 11,206,727?

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 11,206,727

11,206,727
Factor Arrows
71,600,961
Factor Arrows
2369,607
Factor Arrows
471,481

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:

7, 23, 47, 1481

We can check our work by multiplying all of the prime factors together: 7 x 23 x 47 x 1,481 = 11,206,727

This can also be written as 71 x 231 x 471 x 1,4811 = 11,206,727

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


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