Q: What are the prime factors of the number 7,083,884?

 A: 2, 19, 83, 1123

Why are those the prime factors of the number 7,083,884?

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 7,083,884

7,083,884
Factor Arrows
23,541,942
Factor Arrows
21,770,971
Factor Arrows
1993,209
Factor Arrows
831,123

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, 19, 83, 1123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 83 x 1,123 = 7,083,884

This can also be written as 22 x 191 x 831 x 1,1231 = 7,083,884

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


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