Q: What are the prime factors of the number 13,026,432?

 A: 2, 3, 33923

Why are those the prime factors of the number 13,026,432?

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 13,026,432

13,026,432
Factor Arrows
26,513,216
Factor Arrows
23,256,608
Factor Arrows
21,628,304
Factor Arrows
2814,152
Factor Arrows
2407,076
Factor Arrows
2203,538
Factor Arrows
2101,769
Factor Arrows
333,923

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, 33923

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 33,923 = 13,026,432

This can also be written as 27 x 31 x 33,9231 = 13,026,432

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


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