Q: What are the prime factors of the number 2,254,041?

 A: 3, 31, 2693

Why are those the prime factors of the number 2,254,041?

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 2,254,041

2,254,041
Factor Arrows
3751,347
Factor Arrows
3250,449
Factor Arrows
383,483
Factor Arrows
312,693

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, 31, 2693

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 31 x 2,693 = 2,254,041

This can also be written as 33 x 311 x 2,6931 = 2,254,041

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


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