Q: What are the prime factors of the number 20,247,744?

 A: 2, 3, 11, 9587

Why are those the prime factors of the number 20,247,744?

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 20,247,744

20,247,744
Factor Arrows
210,123,872
Factor Arrows
25,061,936
Factor Arrows
22,530,968
Factor Arrows
21,265,484
Factor Arrows
2632,742
Factor Arrows
2316,371
Factor Arrows
3105,457
Factor Arrows
119,587

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, 11, 9587

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 9,587 = 20,247,744

This can also be written as 26 x 31 x 111 x 9,5871 = 20,247,744

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


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