Question

Colour the multiples of $2$ and,$7$.The common multiples from the grid are

• A. $2,4,6,8$
• B. $7,14,21,28$
• C. $14,28,42$
• D. $8,56,49$

Answer 1

The correct option is C $14,28,42$

We know that a multiple of a number is that number multiplied by an integer. Integers are negative as well as positive.

Now, we write the multiples of $2$ and $7$ are as follows:

Multiples of $2$ are $-2,-4,-6,-8,-\mathrm{10.....},2,4,6,8,10,.......$

Multiples of $7$ are $-7,-14,-21,-28,-\mathrm{35.....},7,14,21,28,35,.......$

Now, from the given grid of numbers, the common multiples of $2$ and $7$ are $14,28,42$ because all of these numbers are divided by both $2$ and $7$.

Hence, the common multiples of $2$ and $7$ are $14,28,42$.