Q: What are the prime factors of the number 848,416?

 A: 2, 26513

Why are those the prime factors of the number 848,416?

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 848,416

848,416
Factor Arrows
2424,208
Factor Arrows
2212,104
Factor Arrows
2106,052
Factor Arrows
253,026
Factor Arrows
226,513

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, 26513

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 26,513 = 848,416

This can also be written as 25 x 26,5131 = 848,416

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


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