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.

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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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