Divisors of 8

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 $\frac{8}{n}$ 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.

 

Key Things

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

$=\frac{2^4-1}{2-1}$

$=\frac{16-1}{1}$

$=15$

(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.