Question

What are all the positive factors of 96?

Answer 1

Hint: Factors are those numbers which divide the given number completely and leave 0 remainder. In this question, we are finding the factors of 96, so we need to find the numbers that divide 96 completely and leave 0 remainder. As 96 is a composite number, it will have more than two factors.

Complete step-by-step answer:
In this question, we are supposed to write all the positive factors of 96.
First of all, let us understand what positive factors are.
Positive factors are those numbers which when divided by the given number gives remainder as 0.
In our case, we have to find the positive factors of 96. So, the numbers that when divided by 96 leaves 0 remainder are known as the positive factors of 96. For example, if 4 is the factor of 96, then 96 divided by 4 must leave 0 remainder.
 $ 96 \div 4 = 24 $ - - - - - - - [0 remainder]
Hence, 4 is one of the factors of 96.
Now, as 96 is a composite number, it will have more than two factors.
Let us find all these factors of 96.
To find the factors of 96, we need to find the numbers which divides 96 and leaves 0 remainder.
 $
  96 \div 96 = 1 \\
  96 \div 48 = 2 \\
  96 \div 32 = 3 \\
  96 \div 24 = 4 \\
  96 \div 16 = 6 \\
  96 \div 12 = 8 \\
  96 \div 8 = 12 \\
  96 \div 6 = 16 \\
  96 \div 4 = 16 \\
  96 \div 3 = 32 \\
  96 \div 2 = 48 \\
  96 \div 1 = 96 \;
  $
Here, all these numbers when divided with 96 leaves 0 remainder.
So, the factors of 96 $ = 1,2,3,4,6,8,12,16,24,32,48,96 $ .
So, the correct answer is “1,2,3,4,6,8,12,16,24,32,48,96”.

Note: There are other terms as prime factors as well. The difference between factors and prime factors is that the factors can be composite and prime both, but prime factors are only prime numbers.
For example, let us find the prime factors of 96.
Prime factors of 96 $ = 2,3 $ .