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 no remainder is left. For example, if 4 is the factor of 24, then 24 divided by 4 equals 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.

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 up to 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,

Video Lesson on Prime Factors

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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