Q: What are the prime factors of the number 63,521,744?

 A: 2, 11, 13, 27763

Why are those the prime factors of the number 63,521,744?

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 63,521,744

63,521,744
Factor Arrows
231,760,872
Factor Arrows
215,880,436
Factor Arrows
27,940,218
Factor Arrows
23,970,109
Factor Arrows
11360,919
Factor Arrows
1327,763

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, 11, 13, 27763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 13 x 27,763 = 63,521,744

This can also be written as 24 x 111 x 131 x 27,7631 = 63,521,744

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


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