Q: What are the prime factors of the number 20,438,766?

 A: 2, 3, 23, 49369

Why are those the prime factors of the number 20,438,766?

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 20,438,766

20,438,766
Factor Arrows
210,219,383
Factor Arrows
33,406,461
Factor Arrows
31,135,487
Factor Arrows
2349,369

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, 23, 49369

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 23 x 49,369 = 20,438,766

This can also be written as 21 x 32 x 231 x 49,3691 = 20,438,766

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


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