Q: What are the prime factors of the number 63,043,904?

 A: 2, 7, 11, 1163

Why are those the prime factors of the number 63,043,904?

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 63,043,904

63,043,904
Factor Arrows
231,521,952
Factor Arrows
215,760,976
Factor Arrows
27,880,488
Factor Arrows
23,940,244
Factor Arrows
21,970,122
Factor Arrows
2985,061
Factor Arrows
7140,723
Factor Arrows
1112,793
Factor Arrows
111,163

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, 7, 11, 1163

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 7 x 11 x 11 x 1,163 = 63,043,904

This can also be written as 26 x 71 x 112 x 1,1631 = 63,043,904

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


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