Q: What are the prime factors of the number 2,677,212?

 A: 2, 3, 8263

Why are those the prime factors of the number 2,677,212?

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 2,677,212

2,677,212
Factor Arrows
21,338,606
Factor Arrows
2669,303
Factor Arrows
3223,101
Factor Arrows
374,367
Factor Arrows
324,789
Factor Arrows
38,263

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, 8263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 8,263 = 2,677,212

This can also be written as 22 x 34 x 8,2631 = 2,677,212

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


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