- A23
- B15
- C18
- D27
Step-by-Step Solution
Such a rectangle needs the number to have a factor pair other than 1 and itself: and all work. But 23 is prime, so the only arrangement is a single row of 23, which is a line and not a rectangle.
Answer: A) 23
A class wants to pin up photographs on a notice board in a full rectangle having more than one row AND more than one column. For which of these numbers of photographs is that impossible?
Class 6Whole NumbersWhole Numbers
Key idea: Closure: when an operation 'stays inside' the whole numbers
Adding two whole numbers always gives a whole number — addition is **closed** on whole numbers. Multiplying two whole numbers always gives a whole number — multiplication is **closed** too. But subtraction is **not** closed: 5 − 7 = −2, which is not a whole number. Division is also not closed: 7 ÷ 2 = 3.5, not a whole number. Closure is the property that lets us trust an operation never to take us 'outside' the world of whole numbers.
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