A number is said to be a divisor of 27 if that number completely divides 27 without a remainder. In this section, we will discuss about divisors of 27.
Table of Contents
Highlights of Divisors of 27
- Divisors of 27: 1, 3, 9 and 27
- Negative divisors of 27: -1, -3, -9 and -27
- Prime divisors of 27: 3
- Number of divisors of 27: 4
- Sum of divisors of 27: 40
- Product of divisors of 27: 272
What are Divisors of 27
A number n is a divisor of 27 if
To find the divisors of 27, we need to find the numbers n such that 27/n becomes an integer. We have:
27/1=27 | 1, 27 are divisors of 27. |
27/3=9 | 3, 9 are divisors of 27 |
No numbers other than 1, 3, 9, and 27 can divide 27. So we conclude that
The divisors of 27 are: 1, 3, 9, and 27. |
Thus, the total number of divisors of 27 is four.
Negative Divisors of 27
We know that if m is a divisor of a number, then -m is also a divisor of that number.
As the divisors of 27 are 1, 3, 9, and 27, we can say that:
The negative divisors of 27 are -1, -3, -9, and –27.
Prime Divisors of 27
The divisors of 27 are 1, 3, 9, and 27. Among these numbers, only 3 is a prime number. So we obtain that:
The only prime divisor of 27 is 3.
Video solution of Divisors of 27:
Sum, Product & Number of Divisors of 27
The prime factorization of 27 is given below.
27 = 33
(i) By the number of divisors formula, we have that the number of divisors of 27 is
=(3+1)=4.
(ii) By the sum of divisors formula, we have that the sum of the divisors of 27 is
(iii) By the product of divisors formula, we have that the product of the divisors of 27 is
=27(Number of divisors of 27)/2
=274/2
=272
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