Q: What are the prime factors of the number 26,185,712?

 A: 2, 7, 17, 809

Why are those the prime factors of the number 26,185,712?

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 26,185,712

26,185,712
Factor Arrows
213,092,856
Factor Arrows
26,546,428
Factor Arrows
23,273,214
Factor Arrows
21,636,607
Factor Arrows
7233,801
Factor Arrows
1713,753
Factor Arrows
17809

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, 17, 809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 17 x 17 x 809 = 26,185,712

This can also be written as 24 x 71 x 172 x 8091 = 26,185,712

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


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