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Factor tree for 123200

Here you can find the answer to questions related to: Factor tree for 123200 or how to draw the factor tree for 123200.

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Ex.: 6, 9, 26, 256, etc.
This calculator accepts big numbers up to 100,000 or more.
Results:
The number 123200 is a composite number because 123200 can be divided by 1, by itself and at least by 2, 5, 7 and 11. So, it is possible to draw its prime tree.

The prime factorization of 123200 = 26•52•7•11. See its prime factors tree below.

Factor tree for 123200

123200
2
61600
2
30800
2
15400
2
7700
2
3850
2
1925
5
385
5
77
7
11

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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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