Q: What are the prime factors of the number 22,284,840?

 A: 2, 3, 5, 185707

Why are those the prime factors of the number 22,284,840?

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 22,284,840

22,284,840
Factor Arrows
211,142,420
Factor Arrows
25,571,210
Factor Arrows
22,785,605
Factor Arrows
3928,535
Factor Arrows
5185,707

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, 185707

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 185,707 = 22,284,840

This can also be written as 23 x 31 x 51 x 185,7071 = 22,284,840

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


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