Q: What are the prime factors of the number 22,032,760?

 A: 2, 5, 37, 14887

Why are those the prime factors of the number 22,032,760?

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 22,032,760

22,032,760
Factor Arrows
211,016,380
Factor Arrows
25,508,190
Factor Arrows
22,754,095
Factor Arrows
5550,819
Factor Arrows
3714,887

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, 37, 14887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 37 x 14,887 = 22,032,760

This can also be written as 23 x 51 x 371 x 14,8871 = 22,032,760

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


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