Question

The common factor of 12y and 30 is ------------ .
OPTIONS :-
1) 6
2) 12
3) 30
4) 6y

Answer 1

Answer:

1) 6 is the common factor.

Answer 2

Answer:

The common factors of 12y and 30 are 6.

So, option 1 is the correct answer.

Step-by-step explanation:

Here given two numbers are 12y and 30.

We want to find common factor of 12y and 30.

But now question is what is factor ?

Factor means a divisor of an integer.

For example,

divisors of 10 is 1,2,5,10

So, factors of 10 are 1,2,5,10

Again divisors of 27 is 1,3,9,27.

So, factors of 2 are 1,3,9,27.

Here given two numbers are 12y and 30.

By prime factorisation,

$12y = 1 \times 2 \times 2 \times 3 \times y$ and $30 = 1 \times 2 \times 3 \times 5$

So, factors of 12y are 1,2,3,4,6,12,y and factors of 30 are 1,2,3,5,6,10,15,30.

Therefore common factors of 12y and 30 are 1,2,3,6.

Hence, option 1 is correct answer.

Know more about factors -

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