Q: What are the prime factors of the number 6,850,880?

 A: 2, 5, 79, 271

Why are those the prime factors of the number 6,850,880?

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 6,850,880

6,850,880
Factor Arrows
23,425,440
Factor Arrows
21,712,720
Factor Arrows
2856,360
Factor Arrows
2428,180
Factor Arrows
2214,090
Factor Arrows
2107,045
Factor Arrows
521,409
Factor Arrows
79271

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, 79, 271

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 5 x 79 x 271 = 6,850,880

This can also be written as 26 x 51 x 791 x 2711 = 6,850,880

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


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