Q: What are the prime factors of the number 2,333,880?

 A: 2, 3, 5, 2161

Why are those the prime factors of the number 2,333,880?

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 2,333,880

2,333,880
Factor Arrows
21,166,940
Factor Arrows
2583,470
Factor Arrows
2291,735
Factor Arrows
397,245
Factor Arrows
332,415
Factor Arrows
310,805
Factor Arrows
52,161

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, 3, 5, 2161

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 2,161 = 2,333,880

This can also be written as 23 x 33 x 51 x 2,1611 = 2,333,880

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


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