Q: What are the prime factors of the number 2,316,416?

 A: 2, 18097

Why are those the prime factors of the number 2,316,416?

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 2,316,416

2,316,416
Factor Arrows
21,158,208
Factor Arrows
2579,104
Factor Arrows
2289,552
Factor Arrows
2144,776
Factor Arrows
272,388
Factor Arrows
236,194
Factor Arrows
218,097

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, 18097

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 2 x 18,097 = 2,316,416

This can also be written as 27 x 18,0971 = 2,316,416

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


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