Q: What are the prime factors of the number 20,182,528?

 A: 2, 39419

Why are those the prime factors of the number 20,182,528?

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 20,182,528

20,182,528
Factor Arrows
210,091,264
Factor Arrows
25,045,632
Factor Arrows
22,522,816
Factor Arrows
21,261,408
Factor Arrows
2630,704
Factor Arrows
2315,352
Factor Arrows
2157,676
Factor Arrows
278,838
Factor Arrows
239,419

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, 39419

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 39,419 = 20,182,528

This can also be written as 29 x 39,4191 = 20,182,528

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


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