Q: What are the prime factors of the number 20,247,759?

 A: 3, 7, 149, 719

Why are those the prime factors of the number 20,247,759?

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 20,247,759

20,247,759
Factor Arrows
36,749,253
Factor Arrows
32,249,751
Factor Arrows
3749,917
Factor Arrows
7107,131
Factor Arrows
149719

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:

3, 7, 149, 719

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 149 x 719 = 20,247,759

This can also be written as 33 x 71 x 1491 x 7191 = 20,247,759

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


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