Q: What are the prime factors of the number 2,667,328?

 A: 2, 71, 587

Why are those the prime factors of the number 2,667,328?

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 2,667,328

2,667,328
Factor Arrows
21,333,664
Factor Arrows
2666,832
Factor Arrows
2333,416
Factor Arrows
2166,708
Factor Arrows
283,354
Factor Arrows
241,677
Factor Arrows
71587

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, 71, 587

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 71 x 587 = 2,667,328

This can also be written as 26 x 711 x 5871 = 2,667,328

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


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