Q: What are the prime factors of the number 13,530,432?

 A: 2, 3, 19, 3709

Why are those the prime factors of the number 13,530,432?

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 13,530,432

13,530,432
Factor Arrows
26,765,216
Factor Arrows
23,382,608
Factor Arrows
21,691,304
Factor Arrows
2845,652
Factor Arrows
2422,826
Factor Arrows
2211,413
Factor Arrows
370,471
Factor Arrows
193,709

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, 19, 3709

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 3 x 19 x 3,709 = 13,530,432

This can also be written as 26 x 31 x 191 x 3,7091 = 13,530,432

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


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