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Factor tree for 1053

Here you can find the answer to questions related to: Factor tree for 1053 or how to draw the factor tree for 1053.


 
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The number 1053 is a composite number because 1053 can be divided by 1, by itself and at least by 3 and 13. So, it is possible to draw its prime tree.

The prime factorization of 1053 = 34•13. See its prime factors tree below.

Factor tree for 1053

1053
3
351
3
117
3
39
3
13

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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