Question

Write all the factors of 16?

Answer 1

Hint: To find the factors of 16, we are going to first of all divide 16 by the lowest natural number which is completely divisible by 16. Then we move on to the next natural number which is completely divisible by 16. We will keep doing this process until we get the natural number 16 because 16 is completely divisible by 16 and will get the quotient as 1.

Complete step by step solution:
In the above problem, we are asked to do the factors of 16 which we are going to do by dividing 16 with a lowest natural number. Let us take 1 because 1 is divisible by any number. Dividing 16 by 1 will give 16 as the quotient and remainder as 0.
$1\stackrel{16}{\overline{)\begin{array}{rl}& 16\\ & {\displaystyle \frac{16}{00}}\end{array}}}$
Now, as 16 is the even number so it is divisible by 2 so dividing 16 by 2 we get,
$2\stackrel{8}{\overline{)\begin{array}{rl}& 16\\ & {\displaystyle \frac{16}{00}}\end{array}}}$
Hence, 2 is a factor of 16.
Moving on to next natural number 3, as the sum of the numbers placed on the unit digit and the tens digit is $(1+6=7)$ and 7 is not divisible by 3 so 3 is not divisible by 16. Moving on to next number 4, dividing 16 by 4 we get,
$4\stackrel{4}{\overline{)\begin{array}{rl}& 16\\ & {\displaystyle \frac{16}{00}}\end{array}}}$
Hence, 4 is a factor of 16.
Similarly by hit and trial method we are going to divide 8 by 16 and we get,
$8\stackrel{2}{\overline{)\begin{array}{rl}& 16\\ & {\displaystyle \frac{16}{00}}\end{array}}}$
Hence, 8 is a factor of 16.
Now, we are going to divide 16 by 16 and we get,
$16\stackrel{1}{\overline{)\begin{array}{rl}& 16\\ & {\displaystyle \frac{16}{00}}\end{array}}}$
Hence, 16 is a factor of 16.
From the above, we got the following factors of 16 as follows:
1, 2, 4, 8, 16

Note: The mistake that could be possible in the above problem is that you might forget to write 1 as the factor of 16 so make sure you won’t make this mistake in the exam. Also, there is a tendency to forget 16 as the factor of 16 so pay attention while writing the factors for 16.