Q: What are the prime factors of the number 11,424,036?

 A: 2, 3, 13, 67, 1093

Why are those the prime factors of the number 11,424,036?

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 11,424,036

11,424,036
Factor Arrows
25,712,018
Factor Arrows
22,856,009
Factor Arrows
3952,003
Factor Arrows
1373,231
Factor Arrows
671,093

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, 13, 67, 1093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 67 x 1,093 = 11,424,036

This can also be written as 22 x 31 x 131 x 671 x 1,0931 = 11,424,036

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


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