Q: What are the prime factors of the number 20,759,700?

 A: 2, 3, 5, 13, 5323

Why are those the prime factors of the number 20,759,700?

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 20,759,700

20,759,700
Factor Arrows
210,379,850
Factor Arrows
25,189,925
Factor Arrows
31,729,975
Factor Arrows
5345,995
Factor Arrows
569,199
Factor Arrows
135,323

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, 5, 13, 5323

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 13 x 5,323 = 20,759,700

This can also be written as 22 x 31 x 52 x 131 x 5,3231 = 20,759,700

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


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