The divisors of 32 are 1, 2, 4, 8, 16, and 32. The divisors of 32 are those numbers that completely divide 32 without a remainder. In this section, we will discuss about divisors of 32.

Table of Contents

## Highlights of Divisors of 32

- Divisors of 32: 1, 2, 4, 8, 16 and 32
- Negative divisors of 32: -1, -2, -4, -8, -16 and -32
- Prime divisors of 32: 2
- Number of divisors of 32: 6
- Sum of divisors of 32: 63
- Product of divisors of 32: 32
^{3 }

## What are Divisors of 32

A number n is a divisor of 32 if $\dfrac{32}{n}$ is an integer. Note that if 32/n=m is an integer, then both m and n will be the divisors of 32.

To find the divisors of 32, we need to find the numbers n such that 32/n becomes an integer. We have:

32/1=32 | 1, 32 are divisors of 32. |

32/2=16 | 2, 16 are divisors of 32 |

32/4=8 | 4, 8 are divisors of 32 |

No numbers other than 1, 2, 4, 8, 16, and 32 can divide 32. So we conclude that:

- The divisors of 32 are 1, 2, 4, 8, 16, and 32.
- The total number of divisors of 32 is six.

## Negative Divisors of 32

We know that if m is a divisor of a number, then -m is also a divisor of that number.

As the divisors of 32 are 1, 2, 4, 8, 16, and 32, we can say that:

The negative divisors of 32 are -1, -2, -4, -8, -16, and –32.

## Prime Divisors of 32

The divisors of 32 are 1, 2, 4, 8, 16, and 32. Among these numbers, only 2 is a prime number. So we obtain that:

The only prime divisor of 32 is 2.

Video Solution of Divisors of 32:

## Sum, Product & Number of Divisors of 32

The prime factorization of 32 is given below.

32 = 2^{5}

(i) By the number of divisors formula, we have that the number of divisors of 32 is

=(5+1)=6.

(ii) By the sum of divisors formula, we have that the sum of the divisors of 32 is

$=\dfrac{2^6-1}{2-1}$

$=\dfrac{64-1}{1}$

$=63$

(iii) By the product of divisors formula, we have that the product of the divisors of 32 is

=32^{(Number of divisors of 32)/2}

=32^{6/2}

=32^{3}

**Related Topics:**

## FAQs

**Q1: What are the divisors of 32?**

Answer: 1, 2, 4, 8, 16, and 32 are the divisors of 32.

**Q2: Does 6 divide 32?**

Answer: No, 6 does not divide 32.

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.