The divisors of 4 are 1, 2, and 4. The divisors of 4 are those numbers that completely divide 4 without a remainder. In this section, we will discuss divisors of 4.
Table of Contents
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:
| 4/1=4 | 1, 4 are divisors of 4. |
| 4/2=2 | 2 is a divisor of 4 |
No numbers other than 1, 2, and 4 can divide 4. So we conclude that
|
The divisors of 4 are: 1, 2 and 4. |
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
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FAQs
Answer: Yes, 2 is a divisor of 4 as we know that 4÷2=2.
Answer: No, 4 is not a divisor of 2 as 2/4=1/2 is a fraction.
