Q: What are the prime factors of the number 2,623,941?

 A: 3, 157, 619

Why are those the prime factors of the number 2,623,941?

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 2,623,941

2,623,941
Factor Arrows
3874,647
Factor Arrows
3291,549
Factor Arrows
397,183
Factor Arrows
157619

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, 157, 619

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 157 x 619 = 2,623,941

This can also be written as 33 x 1571 x 6191 = 2,623,941

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


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