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.

Table of Contents

## 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: 8
^{2}

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## 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 = 2^{3}

(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}

=8^{4/2}

=8^{2}

## 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.

## FAQs on Divisors of 8

**Q1: what are the divisors of 8?**

Answer: The divisors of 8 are 1, 2, 4, and 8.

This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.