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: 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.