Factors of 5

Factors of 5 are the real numbers that can divide the original number, uniformly. If ‘x’ is the factor of 5, then ‘x’ divides 5 into equal parts and there is no remainder left. For example, if 4 is the factor of 24, then 24 divided by 4 is equal to 6. Thus, 4 divides 24 into six equal parts and the remainder is 0.

Let us find the factors, pair factors and prime factors of 5 in this article with simple methods.

Factors Pair Factors  Prime Factors
1 and 5 (1, 5) 5 → 5

How to Find Factors of 5?

Factors of 5 are the natural numbers that can divide the actual number, evenly. 5 is the third prime number when arranged in ascending order. Therefore, 5 will have only two factors, 1 and 5.  

  • 5 ÷ 1 = 5     
  • 5 ÷ 5 = 1

If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.

Pair Factors of 5

The product of pair factors of 5 will be equal to the actual number. Hence,

1 × 5 = 5

Or 

5 × 1 = 5

Therefore, there is only one pair factor, i.e. (1, 5).

Similarly, we can also consider negative pair factors of 5 which will be equal to the original number.

-1 × -5 = 5

Therefore, the negative pair factor is  (-1, -5).

Prime Factorisation of 5

Using the prime factorization method, it is easy to find the prime factors of the original number. As we already know 5 is a prime number, therefore, the prime factorization of 5 is not required.

Check:

We can check if 5 is a prime number or not, by dividing it by other prime numbers. First, let us list down the prime numbers upto 5.

2, 3, 5

Now if we start dividing 5 by 2, then we get;

5/2 = 2.5

5/3 = 1.66

5/5 = 1

Thus, we can see, 5 is only divisible by itself.

Therefore,

Prime factorisation of 5 =  5

Solved Examples

Q.1: Find the sum of all the factors of five.

Solution: The factors of 5 are 1 and 5.

Sum = 1 + 5 = 6

Therefore, 6 is the required sum.

Q.3: What is the greatest common factor of 10 and 5?

Answer: Let us list down the factors of all the numbers.

Factors of 10 = 1, 2, 5, 10

Factors of 5 = 1, 5

GCF of 10 and 5 is 5.

Get Factors of more Numbers Here

Factors of 4 Factors of 6 Factors of 8
Factors of 10 Factors of 12 Factors of 15
Factors of 16 Factors of 17 Factors of 18
Factors of 20 Factors of 21 Factors of 23

Register with us and download BYJU’S – The Learning App to learn more about the factors and prime factors with the help of interactive videos.

Frequently Asked Questions on Factors of 5

What are the two factors of 5?

The two factors of 5 are 1 and 5.

Is 5 a common factor of 20 and 25?

Yes, 5 is a common factor of 20 and 25 since the factors of 20 include 1, 2, 4, 5, 10, 20, whereas the factors of 25 include 1, 5, 25. Here, 5 is common in the factor list of 20 and 25.

What are the prime factors of 5?

We know that 5 is a prime number, that means it has only two factors, i.e. 1 and 5. Thus, the only prime factor of 5 is the number itself.

Is 5 divisible by any other number?

5 is not divisible by any other real number, apart from 1 and the number itself. If we divide 5 by any other number, then the remainder will not be equal to zero.

What are multiples of 5?

The multiples of 5 include:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, etc.

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