Q: What are the prime factors of the number 63,437,280?

 A: 2, 3, 5, 283, 467

Why are those the prime factors of the number 63,437,280?

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 63,437,280

63,437,280
Factor Arrows
231,718,640
Factor Arrows
215,859,320
Factor Arrows
27,929,660
Factor Arrows
23,964,830
Factor Arrows
21,982,415
Factor Arrows
3660,805
Factor Arrows
5132,161
Factor Arrows
283467

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, 5, 283, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 283 x 467 = 63,437,280

This can also be written as 25 x 31 x 51 x 2831 x 4671 = 63,437,280

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


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