Q: What are the prime factors of the number 11,691,432?

 A: 2, 3, 113, 479

Why are those the prime factors of the number 11,691,432?

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 11,691,432

11,691,432
Factor Arrows
25,845,716
Factor Arrows
22,922,858
Factor Arrows
21,461,429
Factor Arrows
3487,143
Factor Arrows
3162,381
Factor Arrows
354,127
Factor Arrows
113479

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, 113, 479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 113 x 479 = 11,691,432

This can also be written as 23 x 33 x 1131 x 4791 = 11,691,432

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


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