Q: What are the prime factors of the number 2,741,769?

 A: 3, 3761

Why are those the prime factors of the number 2,741,769?

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 2,741,769

2,741,769
Factor Arrows
3913,923
Factor Arrows
3304,641
Factor Arrows
3101,547
Factor Arrows
333,849
Factor Arrows
311,283
Factor Arrows
33,761

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, 3761

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3,761 = 2,741,769

This can also be written as 36 x 3,7611 = 2,741,769

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


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