Q: What are the prime factors of the number 20,033,406?

 A: 2, 3, 41221

Why are those the prime factors of the number 20,033,406?

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 20,033,406

20,033,406
Factor Arrows
210,016,703
Factor Arrows
33,338,901
Factor Arrows
31,112,967
Factor Arrows
3370,989
Factor Arrows
3123,663
Factor Arrows
341,221

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, 41221

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 41,221 = 20,033,406

This can also be written as 21 x 35 x 41,2211 = 20,033,406

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


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