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Factor tree for 81400

Here you can find the answer to questions related to: Factor tree for 81400 or how to draw the factor tree for 81400.


 
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The number 81400 is a composite number because 81400 can be divided by 1, by itself and at least by 2, 5, 11 and 37. So, it is possible to draw its prime tree.

The prime factorization of 81400 = 23•52•11•37. See its prime factors tree below.

Factor tree for 81400

81400
2
40700
2
20350
2
10175
5
2035
5
407
11
37

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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