Q: What are the prime factors of the number 20,764,836?

 A: 2, 3, 7121

Why are those the prime factors of the number 20,764,836?

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 20,764,836

20,764,836
Factor Arrows
210,382,418
Factor Arrows
25,191,209
Factor Arrows
31,730,403
Factor Arrows
3576,801
Factor Arrows
3192,267
Factor Arrows
364,089
Factor Arrows
321,363
Factor Arrows
37,121

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, 7121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7,121 = 20,764,836

This can also be written as 22 x 36 x 7,1211 = 20,764,836

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


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