Q: What are the prime factors of the number 2,123,910?

 A: 2, 3, 5, 23599

Why are those the prime factors of the number 2,123,910?

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 2,123,910

2,123,910
Factor Arrows
21,061,955
Factor Arrows
3353,985
Factor Arrows
3117,995
Factor Arrows
523,599

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, 23599

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 23,599 = 2,123,910

This can also be written as 21 x 32 x 51 x 23,5991 = 2,123,910

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


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