Q: What are the prime factors of the number 20,889,584?

 A: 2, 1305599

Why are those the prime factors of the number 20,889,584?

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 20,889,584

20,889,584
Factor Arrows
210,444,792
Factor Arrows
25,222,396
Factor Arrows
22,611,198
Factor Arrows
21,305,599

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, 1305599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,305,599 = 20,889,584

This can also be written as 24 x 1,305,5991 = 20,889,584

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


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