Q: What are the prime factors of the number 2,684,808?

 A: 2, 3, 7, 761

Why are those the prime factors of the number 2,684,808?

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 2,684,808

2,684,808
Factor Arrows
21,342,404
Factor Arrows
2671,202
Factor Arrows
2335,601
Factor Arrows
3111,867
Factor Arrows
337,289
Factor Arrows
75,327
Factor Arrows
7761

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, 7, 761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 7 x 761 = 2,684,808

This can also be written as 23 x 32 x 72 x 7611 = 2,684,808

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


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