Q: What are the prime factors of the number 20,188,719?

 A: 3, 31, 269

Why are those the prime factors of the number 20,188,719?

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 20,188,719

20,188,719
Factor Arrows
36,729,573
Factor Arrows
32,243,191
Factor Arrows
3172,361
Factor Arrows
269269

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, 31, 269

We can check our work by multiplying all of the prime factors together: 3 x 3 x 31 x 269 x 269 = 20,188,719

This can also be written as 32 x 311 x 2692 = 20,188,719

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


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