Q: What are the prime factors of the number 20,441,304?

 A: 2, 3, 13, 21839

Why are those the prime factors of the number 20,441,304?

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 20,441,304

20,441,304
Factor Arrows
210,220,652
Factor Arrows
25,110,326
Factor Arrows
22,555,163
Factor Arrows
3851,721
Factor Arrows
3283,907
Factor Arrows
1321,839

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, 13, 21839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 21,839 = 20,441,304

This can also be written as 23 x 32 x 131 x 21,8391 = 20,441,304

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


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