Q: What are the prime factors of the number 2,655,018?

 A: 2, 3, 607

Why are those the prime factors of the number 2,655,018?

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 2,655,018

2,655,018
Factor Arrows
21,327,509
Factor Arrows
3442,503
Factor Arrows
3147,501
Factor Arrows
349,167
Factor Arrows
316,389
Factor Arrows
35,463
Factor Arrows
31,821
Factor Arrows
3607

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, 607

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 607 = 2,655,018

This can also be written as 21 x 37 x 6071 = 2,655,018

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


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