Q: What are the prime factors of the number 6,672,735?

 A: 3, 5, 79, 1877

Why are those the prime factors of the number 6,672,735?

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 6,672,735

6,672,735
Factor Arrows
32,224,245
Factor Arrows
3741,415
Factor Arrows
5148,283
Factor Arrows
791,877

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:

3, 5, 79, 1877

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 79 x 1,877 = 6,672,735

This can also be written as 32 x 51 x 791 x 1,8771 = 6,672,735

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


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