# Divisors of 25

The divisors of 25 are those numbers that completely divide 25 with the remainder zero. In this section, we will discuss about divisors of 25.

## Highlights of Divisors of 25

• Divisors of 25: 1, 5 and 25
• Negative divisors of 25: -1, -5 and -25
• Prime divisors of 25: 5
• Number of divisors of 25: 3
• Sum of divisors of 25: 31
• Product of divisors of 25: 253/2 =125.

## What are the Divisors of 25

A number n is a divisor of 25 if $\dfrac{25}{n}$ is an integer. Note that if 25/n=m is an integer, then both m and n will be the divisors of 25.

To find the divisors of 25, we need to find the number n such that 25/n becomes an integer. We have:

No numbers other than 1, 5, and 25 can divide 25. So we conclude that

Thus, the total number of divisors of 25 is three.

## Negative Divisors of 25

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

As the divisors of 25 are 1, 5, and 25, we can say that:

The negative divisors of 25 are -1, -5, and –25.

## Prime Divisors of 25

The divisors of 25 are 1, 5, and 25. Among these numbers, only 5 is a prime number. So we obtain that:

The only prime divisor of 25 is 5.

Video solution of Divisors of 25:

## Sum, Product & Number of Divisors of 25

The prime factorization of 25 is given below.

25 = 52

(i) By the number of divisors formula, we have that the number of divisors of 25 is

=(2+1)=3.

(ii) By the sum of divisors formula, we have that the sum of the divisors of 25 is

$=\dfrac{5^3-1}{5-1}$

$=\dfrac{125-1}{4}$

$=31$

(iii) By the product of divisors formula, we have that the product of the divisors of 25 is

=25(Number of divisors of 25)/2

=253/2

=125

Related Topics:

Share via: