Prime or Composite Number Calculator

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The calculator determins entered number is Prime number or composite number.

Explanations:

For Prime Number :

We can take the example of 5, so we will divide 5 in steps as follows: $$\frac {5}{1} =5 $$ $$ \frac {5}{2} =2 \text { and 1 is lef tover un-divisible} $$ $$ \text { (2x2 =4 and 5-4 =1 lef over).} $$ $$ \frac {5}{3} =1 \text { and 2 is left over un-divisible} $$ $$ \text { (3x1 =3 and 5-3 =2 left over).}$$ $$ \frac {5}{4} =1 \text { and 1 is left over un-divisible} $$ $$ \text { (4x1 =4 and 5-4 =1 left over).} $$ $$ \frac {5}{5} =1 $$

The 5 can be divided evenly by 1 and 5 so it is a prime number.

For Composite number:

We can take the example of 27, so we will divide 27 in steps as follows: $$\frac {27}{1} = 27 $$ $$ \frac {27}{2} =13 \text { and 1 is left over un-divisible } $$ $$ \text { ( 13x2 =26 and 27 -26 = 1 left over).} $$ $$ \frac {27}{3} =9 $$ $$ \frac {27}{4} =6 \text { and 3 is left over un-divisible} $$ $$ \text { ( 6x4 =24 and 27-24 =3 left over)} $$ $$ \frac {27}{9} =3 $$ $$ \frac {27}{27} =1 $$

The 27 can be divided evenly by 1,3,9,27 so it is a composite number.