Question

The numbers 2, 3, 12, 14, 15, 20 and 21 are to be grouped in two sets so that the product of the numbers in each set is the same. What could be the product of any one group?

Answer 1

Step-by-step explanation:

2 , 12, 15, 21

and

3, 14, 20

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Answer 2

Answer :

2520

Step-by-step explanation:

Prime factorisation of the given numbers,

2=2

3=3

12= 2×2×3

14=2×7

15=3×5

20=2×2×5

21=3×7

Prime factorisation of the product of the given numbers = 2×2×2×2×2×2×3×3×3×3×5×5×7×7 = 2^6 × 3^4 × 5^2 × 7^2

the product of the numbers in each set is the same.

=> 2³×3²×5×7 = 2³×3²×5×7

= 2520

Hope this will help you.

If so please mark me brainliest.