Q: What are the prime factors of the number 20,727,248?

 A: 2, 229, 5657

Why are those the prime factors of the number 20,727,248?

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 20,727,248

20,727,248
Factor Arrows
210,363,624
Factor Arrows
25,181,812
Factor Arrows
22,590,906
Factor Arrows
21,295,453
Factor Arrows
2295,657

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, 229, 5657

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 229 x 5,657 = 20,727,248

This can also be written as 24 x 2291 x 5,6571 = 20,727,248

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


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