Q: What are the prime factors of the number 2,037,393?

 A: 3, 25153

Why are those the prime factors of the number 2,037,393?

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 2,037,393

2,037,393
Factor Arrows
3679,131
Factor Arrows
3226,377
Factor Arrows
375,459
Factor Arrows
325,153

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, 25153

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 25,153 = 2,037,393

This can also be written as 34 x 25,1531 = 2,037,393

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


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