Q: What are the prime factors of the number 3,100,880?

 A: 2, 5, 83, 467

Why are those the prime factors of the number 3,100,880?

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 3,100,880

3,100,880
Factor Arrows
21,550,440
Factor Arrows
2775,220
Factor Arrows
2387,610
Factor Arrows
2193,805
Factor Arrows
538,761
Factor Arrows
83467

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, 5, 83, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 83 x 467 = 3,100,880

This can also be written as 24 x 51 x 831 x 4671 = 3,100,880

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


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