Question

Write all the factors of 16 in circle I and all the factors of 20 in circle II. Write all the common factors in common parts of both the circles. Which option shows it correctly?

(a)
 

(b)
    

(c)
       

(d)
    

Answer 1

Hint: A number is said to be a factor of any other second number, then the first number must divide the second number completely without leaving any remainder. We have to write down the factors of 16 and 20. Then, we have to write the common factors in 16 and 20. We will write these common factors in the intersection of the circles. The remaining factors of 16 will be written inside circle I and the remaining factors of 20 will be written in circle II.

Complete step by step answer:
We have to find all the factors of 16 and 20 and write them in the given circle. Let us recollect what fractions are. A number is said to be a factor of any other second number, then the first number must divide the second number completely without leaving any remainder. We can say that if a number (dividend) is exactly divisible by any number (divisor), then the divisor is a factor of that dividend.
Let us write down the factors of 16.
Factors of 16: 1, 2, 4, 8, 16
Now, let us write the factors of 20.
Factors of 20: 1, 2, 4, 5, 10, 20.
We know that common factors are the factors that are common to two or more numbers. From the above listed factors, we can see that 1, 2 and 4.
Now, let us write all the factors of 16 in circle I, all the factors of 20 in circle II and all the common factors in the common part of both the circles.

So, the correct answer is “Option d”.

Note: Students may be confused with factors and multiples. A multiple of a number is a number that is the product of a given number and some other natural number. For example, multiples of 16 will be 16, 32, 48, 64, 80, …. and multiples of 20 will be 20, 40, 60, 80, 100, … . Students must note that every number will have a common factor that is one and the number itself.