The divisors of 8 are those numbers that completely divide 8 with the remainder zero. In this section, we will discuss about divisors of 8.
Highlights of Divisors of 8
- Divisors of 8: 1, 2, 4 and 8
- Negative divisors of 8: -1, -2, -4 and -8
- Prime divisors of 8: 2
- Number of divisors of 8: 4
- Sum of divisors of 8: 15
- Product of divisors of 8: 82
Also Read:
What are Divisors of 8
A number n is a divisor of 8 if $\dfrac{8}{n}$ is an integer. Note that if 8/n=m is an integer, then both m and n will be the divisors of 8.
We have:
8/1=8 | 1, 8 are divisors of 8. |
8/2=4 | 2, 4 are divisors of 8 |
No numbers other than 1, 2, 4, and 8 can divide 8. So we conclude that
The divisors of 8 are: 1, 2, 4, and 8. |
Thus, the total number of divisors of 8 is four.
Negative Divisors of 8
We know that if m is a divisor of a number, then -m is also a divisor of that number.
As the divisors of 8 are 1, 2, 4, and 8, we can say that the negative divisors of 8 are -1, -2, -4, and –8.
Prime Divisors of 8
The divisors of 8 are 1, 2, 4, and 8. Among these numbers, only 2 is a prime number. So we obtain that:
The only prime divisor of 8 is 2.
Video solution of Divisors of 8:
Sum, Product & Number of Divisors of 8
The prime factorization of 8 is given below.
8 = 23
(i) By the number of divisors formula, we have that the number of divisors of 8 is
=(3+1)=4.
(ii) By the sum of divisors formula, we have that the sum of the divisors of 8 is
$=\dfrac{2^4-1}{2-1}$
$=\dfrac{16-1}{1}$
$=15$
(iii) By the product of divisors formula, we have that the product of the divisors of 8 is
=8(Number of divisors of 8)/2
=84/2
=82
Question Answer on Divisors of 8
Question 1: Is 3 a divisor of 8?
Answer:
If we divide 8 by 3, then the remainder is 2 as we have 8=3×2+2. Since the remainder is not zero, we say that 3 is not a divisor of 8.