The divisors of 2 are 1 and 2. As it has two divisors 1 and the number 2 itself, 2 is a prime number. In this post, we will learn about divisors of 2 along with related queries. We have the following.
- Divisors of 2: 1, 2
- Prime divisors of 2: 2 only
- Sum of divisors of 2: 4
- Product of divisors of 2: 2
Table of Contents
What are the Divisors of 2
A number is said to be a divisor of 2 if it divides the number 2 without a remainder. In other words, we have:
2 ÷ its divisor = an integer.
Using the above definition, we get that 1 and 2 are the divisors of 2.
How to Find Divisors of 2
We know that each divisor of 2 is less than or equal to 2. So to find the divisors of 2, we will divide 2 by the numbers 1 and 2.
2 ÷ 1 = 2, an integer.
2 ÷ 2 =1, an integer.
So by the above definition of divisors, the divisors of 2 are 1 and 2.
Thus the total number of divisors of 2 is 2.
Prime Divisors of 2
As 2 is divisible only by the number itself other than 1, so we deduce that 2 is a prime number. Hence, the prime divisor of 2 is only 2.
Sum of Divisors of 2
The divisors of 2 are 1 and 2. So their sum will be
= 1+ 2
= 3
Thus the sum of the divisors of 2 is equal to 3.
Product of Divisors of 2
As 1 and 2 are the divisors of 2; so the product of divisors of 2 will be
= 1× 2
= 2
Therefore, the product of the divisors of 2 is equal to 2.
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FAQs
Answer: 1 and 2 are the divisors of 2.
Answer: As 2 ÷ 3 is not an integer, so 3 cannot be a divisor of 2.
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.