The divisors of 3 are 1 and 3. As it has two divisors, 3 is a prime number. In this post, we will learn about divisors of 3 and its related questions. Note that
- Divisors of 3: 1, 3
- Prime divisors of 3: 3 only
- Sum of divisors of 3: 4
- Product of divisors of 3: 3
Table of Contents
What are the Divisors of 3
A number is called a divisor of 3, if it completely divides the number 3 without leaving a remainder. In other words, we can say that
3 ÷ its divisor = an integer.
Thus 1 and 3 are the divisors of 3.
How to Find Divisors of 3
We know that each divisor of 3 must be less than or equal to 3. So to find the divisors of 3, we will divide 3 by 1, 2, and 3, and see which are integers.
3 ÷ 1 = 3
3 ÷ 2 = not an integer
3 ÷ 3 =1.
So by the above definition, we can say that the divisors of 3 are 1 and 3.
Thus the number of divisors of 3 is 2.
Prime Divisors of 3
As 3 is divisible only by 1 and the number itself, we can say that 3 is a prime number. So 3 is the only prime divisor of 3.
Sum of Divisors of 3
The divisors of 3 are 1 and 3; so their sum
= 1+ 3
= 4
So the sum of the divisors of 3 is equal to 4.
Product of Divisors of 3
We know 1 and 3 are the divisors of 3; so their product
= 1× 3
= 3
So the product of the divisors of 3 is equal to 3.
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FAQs
Answer: 1 and 3 are the divisors of 3.
Answer: As 3 ÷ 2 is not an integer, the number 2 is not a divisor of 3.
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.