Q: What are the prime factors of the number 6,846,880?

 A: 2, 5, 42793

Why are those the prime factors of the number 6,846,880?

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 6,846,880

6,846,880
Factor Arrows
23,423,440
Factor Arrows
21,711,720
Factor Arrows
2855,860
Factor Arrows
2427,930
Factor Arrows
2213,965
Factor Arrows
542,793

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, 42793

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 42,793 = 6,846,880

This can also be written as 25 x 51 x 42,7931 = 6,846,880

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


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