# Divisors of 4

The divisors of 4 are those numbers that completely divide 4 without a remainder. In this section, we will discuss about divisors of 4.

## Highlights of Divisors of 4

• Divisors of 4: 1, 2 and 4
• Negative divisors of 4: -1, -2 and -4
• Prime divisors of 4: 2
• Number of divisors of 4: 3
• Sum of divisors of 4: 7
• Product of divisors of 4: 43/2 =23=8.

## What are Divisors of 4

A number n is a divisor of 4 if $\dfrac{4}{n}$ is an integer. Note that if 4/n=m is an integer, then both m and n will be the divisors of 4.

To find the divisors of 4, we need to find the numbers n such that 4/n becomes an integer. We have:

No numbers other than 1, 2, and 4 can divide 4. So we conclude that

Thus, the total number of divisors of 4 is three.

## Negative Divisors of 4

We know that if m is a divisor of a number, then -m is also a divisor of that number.

As the divisors of 4 are 1, 2, and 4, we can say that:

The negative divisors of 4 are -1, -2, and –4.

## Prime Divisors of 4

The divisors of 4 are 1, 2, and 4. Among these numbers, only 2 is a prime number. So we obtain that:

The only prime divisor of 4 is 2.

## Sum, Product & Number of Divisors of 4

The prime factorization of 4 is given below.

4 = 22

(i) By the number of divisors formula, we have that the number of divisors of 4 is

=(2+1)=3.

(ii) By the sum of divisors formula, we have that the sum of the divisors of 4 is

$=\dfrac{2^3-1}{2-1}$

$=\dfrac{8-1}{1}$

$=7$

(iii) By the product of divisors formula, we have that the product of the divisors of 4 is

=4(Number of divisors of 4)/2

=43/2

=23

=8

Related Topics:

Share via: