Q: What are the prime factors of the number 20,239,280?

 A: 2, 5, 31, 8161

Why are those the prime factors of the number 20,239,280?

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 20,239,280

20,239,280
Factor Arrows
210,119,640
Factor Arrows
25,059,820
Factor Arrows
22,529,910
Factor Arrows
21,264,955
Factor Arrows
5252,991
Factor Arrows
318,161

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, 31, 8161

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 31 x 8,161 = 20,239,280

This can also be written as 24 x 51 x 311 x 8,1611 = 20,239,280

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


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