Q: What are the prime factors of the number 11,909,268?

 A: 2, 3, 7, 59, 89

Why are those the prime factors of the number 11,909,268?

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 11,909,268

11,909,268
Factor Arrows
25,954,634
Factor Arrows
22,977,317
Factor Arrows
3992,439
Factor Arrows
3330,813
Factor Arrows
3110,271
Factor Arrows
336,757
Factor Arrows
75,251
Factor Arrows
5989

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, 7, 59, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 7 x 59 x 89 = 11,909,268

This can also be written as 22 x 34 x 71 x 591 x 891 = 11,909,268

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


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