Question

Find the number of divisors of $ 16 $

Answer 1

Hint: Divisor can be defined as the number by which the dividend is divided. In other simple words, divisor can be defined as the number which divides into another without a remainder. Here, we will find the divisors for the given number.

Complete step-by-step answer:
Prime factorization can be expressed as the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are defined as the numbers greater than $ 1 $ and which are not the product of any two smaller natural numbers. For Example: $ 2,{\text{ 3, 5, 7,}}...... $ $ 2 $ is the prime number as it can have only $ 1 $ factor. Here we will find the product of prime factors one by one for both the given numbers.
First of all find the prime factors,
 $ 16 = 2 \times 2 \times 2 \times 2 $
The power is used to express mathematical equations in the short form and it is an expression that represents the repeated multiplication with the same factor. For example - $ 2 \times 2 \times 2 \times 2 $ can be expressed as $ {2^4} $ . Here, the number two is called the base and the exponent represents the number of times the base is used as the factor.
Number of divisors is equal to the number in power plus one.
Number of divisors $ = d(16) = 4 + 1 = 5 $
This is the required solution.
So, the correct answer is “5”.

Note: Be good finding the prime factorization for the given term. Prime factorization can be found by using other methods such as factor tree method. To get the factors be good in multiples and remember it at least twenty.