Q: What are the prime factors of the number 21,596,432?

 A: 2, 11, 13, 9439

Why are those the prime factors of the number 21,596,432?

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 21,596,432

21,596,432
Factor Arrows
210,798,216
Factor Arrows
25,399,108
Factor Arrows
22,699,554
Factor Arrows
21,349,777
Factor Arrows
11122,707
Factor Arrows
139,439

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, 11, 13, 9439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 13 x 9,439 = 21,596,432

This can also be written as 24 x 111 x 131 x 9,4391 = 21,596,432

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


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