Question

Find the common factors of 5, 15 and 25.

Answer 1

Hint:
To solve this problem, we will first find the factors of all three numbers individually. Then we will find out the factors that are common in all three numbers. This will give us the required common factors of all the numbers.

Complete step by step solution:
Here we need to find the common factors of three numbers 5, 15 and 25.
The factor of a number is defined as a number which completely divides that number and gives remainder as zero when divided.
First, we will find the factors of all three numbers individually.
Factors of 5 are 1 and 5.
Factors of the second number i.e. 15 are 1, 3, 5 and 15.
Factors of 25 are 1, 5 and 25.
From these, we can clearly see that 1 and 5 are the factors of all three numbers i.e. 5, 15 and 25.

Hence, the required common factors of 5, 15 and 25 are 1 and 5.

Note:
We might get confused between factors of a number and multiples of a number. A factor is defined as a number that divides the given number completely but the multiple is defined as a number that is completely divided by the given number. Let’s take one example to understand it. Let’s take the number 10. The factors of number 10 are 1, 2, 5 and 10 but the multiples of number 10 are 10, 20, 30, 40, and so on.