Q: What are the prime factors of the number 21,887,520?

 A: 2, 3, 5, 45599

Why are those the prime factors of the number 21,887,520?

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 21,887,520

21,887,520
Factor Arrows
210,943,760
Factor Arrows
25,471,880
Factor Arrows
22,735,940
Factor Arrows
21,367,970
Factor Arrows
2683,985
Factor Arrows
3227,995
Factor Arrows
545,599

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, 45599

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 45,599 = 21,887,520

This can also be written as 25 x 31 x 51 x 45,5991 = 21,887,520

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


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