Q: What are the prime factors of the number 11,300,499?

 A: 3, 7, 59791

Why are those the prime factors of the number 11,300,499?

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 11,300,499

11,300,499
Factor Arrows
33,766,833
Factor Arrows
31,255,611
Factor Arrows
3418,537
Factor Arrows
759,791

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, 7, 59791

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 59,791 = 11,300,499

This can also be written as 33 x 71 x 59,7911 = 11,300,499

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


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