Definition of factors of 5: If a number completely divides 5 with the remainder zero, then that number is called a factor of 5.
By the above definition, we can say that the factors of 5 are the divisors of 5. In this section, we will learn about the factors of 5 and the prime factors of 5.
Also Read: Basic concepts of factors
Highlights of Factors of 5
- 5=1×5 is the prime factorization of 5.
- The factors of 5 are 1 and 5.
- The only prime factor of 5 is 5.
- Negative factors of 5 are –1 and –5.
What are the Factors of 5?
To get the factors of 5 we need to first write the number 5 multiplicatively in all possible ways. Note that we have:
5 = 1×5
This is the only way we can express 5 multiplicatively. Therefore the factors of 5 in pairs are given as follows:
| 5 = a×b | Factors in Pairs (a,b) |
| 5 = 1×5 | (1, 5) |
Thus the only pair factor of 5 is (1, 5). We know that all the numbers appearing in pair factors are the factors of 5. So we conclude that
|
The factors of 5 are: 1 and 5. |
Number of Factors of 5
From above we have calculated the factors of 5 which are 1 and 5. Thus the total number of factors of 5 is two.
Prime Factors of 5
Note that the factors of 5 are 1 and 5. Among those factors, we observe that only 5 is a prime number as it does not have any proper divisors.
∴ the only prime factor of 5 is the number 5 itself.
Question: What are the factors of 5?
Video Solution:
Is 5 a Prime Number?
As the factors of 5 are 1 and the number 5 itself, by the definition of prime numbers, we can say that 5 is a prime number.
Conclusion: 5 is a prime number.
How to Find Factors of 5?
Now we will determine the factors of 5 by division method. In this method, we will find the numbers that can divide 5 with no remainder. See that
5/1=5 and the remainder is 0.
∴ 1 and 5 are factors of 5.
Note that no numbers other than the numbers in violet color can divide 5. So the numbers in violet color, that is, 1 and 5 are the complete list of factors of 5.