Q: What are the prime factors of the number 2,171,205?

 A: 3, 5, 1787

Why are those the prime factors of the number 2,171,205?

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 2,171,205

2,171,205
Factor Arrows
3723,735
Factor Arrows
3241,245
Factor Arrows
380,415
Factor Arrows
326,805
Factor Arrows
38,935
Factor Arrows
51,787

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:

3, 5, 1787

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 1,787 = 2,171,205

This can also be written as 35 x 51 x 1,7871 = 2,171,205

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


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