Q: What are the prime factors of the number 2,740,766?

 A: 2, 7, 27967

Why are those the prime factors of the number 2,740,766?

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 2,740,766

2,740,766
Factor Arrows
21,370,383
Factor Arrows
7195,769
Factor Arrows
727,967

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, 7, 27967

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 27,967 = 2,740,766

This can also be written as 21 x 72 x 27,9671 = 2,740,766

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


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