Q: What are the prime factors of the number 20,926,750?

 A: 2, 5, 13, 47, 137

Why are those the prime factors of the number 20,926,750?

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 20,926,750

20,926,750
Factor Arrows
210,463,375
Factor Arrows
52,092,675
Factor Arrows
5418,535
Factor Arrows
583,707
Factor Arrows
136,439
Factor Arrows
47137

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, 5, 13, 47, 137

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 13 x 47 x 137 = 20,926,750

This can also be written as 21 x 53 x 131 x 471 x 1371 = 20,926,750

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


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