Q: What are the prime factors of the number 3,096,832?

 A: 2, 12097

Why are those the prime factors of the number 3,096,832?

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 3,096,832

3,096,832
Factor Arrows
21,548,416
Factor Arrows
2774,208
Factor Arrows
2387,104
Factor Arrows
2193,552
Factor Arrows
296,776
Factor Arrows
248,388
Factor Arrows
224,194
Factor Arrows
212,097

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, 12097

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 2 x 12,097 = 3,096,832

This can also be written as 28 x 12,0971 = 3,096,832

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


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