Q: What are the prime factors of the number 2,821,956?

 A: 2, 3, 19, 12377

Why are those the prime factors of the number 2,821,956?

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 2,821,956

2,821,956
Factor Arrows
21,410,978
Factor Arrows
2705,489
Factor Arrows
3235,163
Factor Arrows
1912,377

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, 3, 19, 12377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 12,377 = 2,821,956

This can also be written as 22 x 31 x 191 x 12,3771 = 2,821,956

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


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