Q: What are the prime factors of the number 840,416?

 A: 2, 26263

Why are those the prime factors of the number 840,416?

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 840,416

840,416
Factor Arrows
2420,208
Factor Arrows
2210,104
Factor Arrows
2105,052
Factor Arrows
252,526
Factor Arrows
226,263

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, 26263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 26,263 = 840,416

This can also be written as 25 x 26,2631 = 840,416

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


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