Definition of factors of 2: If a number completely divides 2 with the remainder zero, then that number is called a factor of 2. Thus, we can say that the factors of 2 are the divisors of 2. In this section, we will learn about the factors of 2 and the prime factors of 2.
Also Read: Basic concepts of factors
Table of Contents
Highlights of Factors of 2
- 2=1×2 is the prime factorization of 2.
- The factors of 2 are 1 and 2.
- The only prime factor of 2 is 2.
- Negative factors of 2 are –1 and –2.
What are the Factors of 2?
To get the factors of 2 we need to first write the number 2 multiplicatively in all possible ways. Note that we have:
2 = 1×2
This is the only way we can express 2 multiplicatively. Therefore the factors of 2 in pairs are given as follows:
| 2 = a×b | Factors in Pairs (a,b) |
| 2 = 1×2 | (1, 2) |
Thus the only pair factor of 2 is (1, 2). We know that all the numbers appearing in pair factors are the factors of 2. So we conclude that
|
The factors of 2 are: 1 and 2. |
Number of Factors of 2
From above we have calculated the factors of 2 which are 1 and 2. Thus the total number of factors of 2 is two.
Prime Factors of 2
Note that the factors of 2 are 1 and 2. Among those factors, we observe that only 2 is a prime number as it does not have any proper divisors.
∴ the only prime factor of 2 is the number 2 itself.
Question: What are the factors of 2?
Video Solution:
Is 2 a Prime Number?
As the factors of 2 are 1 and the number 2 itself, by the definition of prime numbers, we can say that 2 is a prime number.
Conclusion: 2 is a prime number.
How to Find Factors of 2?
Now we will determine the factors of 2 by division method. In this method, we will find the numbers that can divide 2 with no remainder. See that
2/1=2 and the remainder is 0.
∴ 1 and 2 are factors of 2.
Note that no numbers other than 1 and 2 can divide 2. So the numbers 1 and 2 are the complete list of factors of 2.
