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, an expert in Mathematics (PhD). On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.