Q: What are the prime factors of the number 20,954,432?

 A: 2, 37, 8849

Why are those the prime factors of the number 20,954,432?

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 20,954,432

20,954,432
Factor Arrows
210,477,216
Factor Arrows
25,238,608
Factor Arrows
22,619,304
Factor Arrows
21,309,652
Factor Arrows
2654,826
Factor Arrows
2327,413
Factor Arrows
378,849

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, 37, 8849

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 37 x 8,849 = 20,954,432

This can also be written as 26 x 371 x 8,8491 = 20,954,432

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


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