Q: What are the prime factors of the number 20,936,268?

 A: 2, 3, 59, 9857

Why are those the prime factors of the number 20,936,268?

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 20,936,268

20,936,268
Factor Arrows
210,468,134
Factor Arrows
25,234,067
Factor Arrows
31,744,689
Factor Arrows
3581,563
Factor Arrows
599,857

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, 59, 9857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 59 x 9,857 = 20,936,268

This can also be written as 22 x 32 x 591 x 9,8571 = 20,936,268

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


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