Question

List a pair of numbers that both have 1,2,7 and 14 as a common factor explain how you got your answer

Answer 1

14

Explanation:

Since 1*14=14

2*7=14

and 7*2=14

Answer 2

A pair of numbers that have 1, 2, 7 and 14 as a common factors are 296 and 592.

SOLUTION:

We need to find a pair of numbers that both have 1, 2, 7 and 14 as a common factor.

Let, both the numbers be x and y.

According to the given information,

“x” has factors 1, 2, 7 and 14.

So, x = 1 × 2 × 7 × 14 × m

Here, m is any integer. Because, x can also have factors other than 1, 2, 7 and 14.

And, y also has factors 1, 2, 7 and 14.

So, y = 1 × 2 × 7 × 14 × n

Here, m is any integer. I used n, but not m as for x, because y can have other factors unlike m.

Now, x = 296m and y = 296n.

From above, we can say that multiples of 296 will have 1, 2, 7 and 14 as factors.

Let us put m = 1 and n = 2

x = 296 and y = 592

Hence, a pair of numbers that have 1, 2, 7 and 14 as a common factors are 296 and 592.