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Factor tree for 1859

Here you can find the answer to questions related to: Factor tree for 1859 or how to draw the factor tree for 1859.


 
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The number 1859 is a composite number because 1859 can be divided by 1, by itself and at least by 11 and 13. So, it is possible to draw its prime tree.

The prime factorization of 1859 = 11•132. See its prime factors tree below.

Factor tree for 1859

1859
11
169
13
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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