Q: What are the prime factors of the number 2,205,360?

 A: 2, 3, 5, 1021

Why are those the prime factors of the number 2,205,360?

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 2,205,360

2,205,360
Factor Arrows
21,102,680
Factor Arrows
2551,340
Factor Arrows
2275,670
Factor Arrows
2137,835
Factor Arrows
345,945
Factor Arrows
315,315
Factor Arrows
35,105
Factor Arrows
51,021

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, 3, 5, 1021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 1,021 = 2,205,360

This can also be written as 24 x 33 x 51 x 1,0211 = 2,205,360

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


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