Q: What are the prime factors of the number 20,151,808?

 A: 2, 39359

Why are those the prime factors of the number 20,151,808?

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 20,151,808

20,151,808
Factor Arrows
210,075,904
Factor Arrows
25,037,952
Factor Arrows
22,518,976
Factor Arrows
21,259,488
Factor Arrows
2629,744
Factor Arrows
2314,872
Factor Arrows
2157,436
Factor Arrows
278,718
Factor Arrows
239,359

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, 39359

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 39,359 = 20,151,808

This can also be written as 29 x 39,3591 = 20,151,808

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


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