Prime and Composite Numbers

    Before we discuss Prime and Composite Numbers, we should take note that in this topic our desired quotients would be focused on Natural Numbers.  

Now, let us begin to know what are Prime Numbers and Composite Numbers.

Prime Numbers

    These are numbers whose divisors are only 1 and itself.

Example:

1. The number 2 is a prime number. 

\[\frac{2}{2}=1\]                

\[\frac{2}{1}=2\]

    Since there are no more divisors that can divide 2, we can say that 2 is a prime number.

2. The number 5 is a prime number.

\[\frac{5}{1}=5\]

\[\frac{5}{5}=1\]

     If we try to divide 5 by 4, 3 and 2, we will not obtain a Natural Number answer. Since the only divisors for 5 is 1 and itself, we can say that 5 is a prime number.

Composite Numbers

    These are numbers that has other divisors other than 1 and itself. 

Example:

1. The number 6 is a composite number.

\[\frac{6}{1}=6\]

\[\frac{6}{2}=3\]

\[\frac{6}{3}=2\]

\[\frac{6}{6}=1\]

    Since 6 appears to have other divisors other than 1 and itself , namely 2 and 3, we can say that 6 is a composite number

2. The number 4 is a composite number

\[\frac{8}{1}=8\]

\[\frac{8}{2}=4\]

\[\frac{8}{4}=2\]

\[\frac{8}{8}=1\]

    Since 8 appears to have other divisors other than 1 and itself , which are 2 and 4, we can say that 8 is a composite number

Prime and Composite Numbers From 1-100