Q: What are the prime factors of the number 3,088,736?

 A: 2, 7, 13789

Why are those the prime factors of the number 3,088,736?

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 3,088,736

3,088,736
Factor Arrows
21,544,368
Factor Arrows
2772,184
Factor Arrows
2386,092
Factor Arrows
2193,046
Factor Arrows
296,523
Factor Arrows
713,789

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, 7, 13789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 13,789 = 3,088,736

This can also be written as 25 x 71 x 13,7891 = 3,088,736

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


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