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Factor tree for 69000

Here you can find the answer to questions related to: Factor tree for 69000 or how to draw the factor tree for 69000.


 
Ex.: 6, 9, 26, 256, etc.
This calculator accepts big numbers up to 100,000 or more.
Results:
The number 69000 is a composite number because 69000 can be divided by 1, by itself and at least by 2, 3, 5 and 23. So, it is possible to draw its prime tree.

The prime factorization of 69000 = 23•3•53•23. See its prime factors tree below.

Factor tree for 69000

69000
2
34500
2
17250
2
8625
3
2875
5
575
5
115
5
23

How to draw the factor tree

The procedure below applies to any non-prime number.

  • Find 2 factors of the number;
  • Look at the 2 factors and determine if at least one of them is not prime;
  • If it is not a prime factor it;
  • Repeat this process until all factors are prime.

Supose you want to find the factor tree of 32. In this case, you show use the folowing steps:


     32
    /  \
   2   16
      /  \
     2   8
        /  \
       2    4
          /  \
         2    2

 32 is not prime --> divide by 2

 16 is not prime --> divide by 2

 8 is not prime --> divide by 2

  4 is not prime --> divide by 2

  2 is prime --> stop

Note that these dividers (in this case all are equal to 2) are the prime factors. They are also called the leaves of the factor tree.

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