Question

This afternoon,sara noticed that the number of the page assigned for homework is divisble by both 12 and 2.what is the smallest possible page number tha

t could have been assigned

Answer 1

If the number of pages assigned is divisible by both 12 and 2, then we can conclude that the minimum number of pages assigned cannot be less that 12 since any number less than 12 is not divisible by 12.

The answer is 12.

Answer 2

The smallest possible page number that would have been assigned is 12.

Explanation:

Number of pages assigned for homework = x

The 'x' is the number which divisible by both 2 and 12.

2 = 1 × 2 (prime number)

12 = 1 × 2 × 2 × 3 (Composite number)

The smallest possible page number that could have been assigned will be equal to lowest common multiple of 1, 1, 2, 2 and 3.

X = 1 × 1 × 2 × 2 × 3 = 12