Q: What are the prime factors of the number 63,041,440?

 A: 2, 5, 7, 11, 17, 43

Why are those the prime factors of the number 63,041,440?

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 63,041,440

63,041,440
Factor Arrows
231,520,720
Factor Arrows
215,760,360
Factor Arrows
27,880,180
Factor Arrows
23,940,090
Factor Arrows
21,970,045
Factor Arrows
5394,009
Factor Arrows
756,287
Factor Arrows
78,041
Factor Arrows
11731
Factor Arrows
1743

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, 5, 7, 11, 17, 43

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 11 x 17 x 43 = 63,041,440

This can also be written as 25 x 51 x 72 x 111 x 171 x 431 = 63,041,440

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


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