The possible dimensions of rectangles are 1×24, 2×12, 3×8, 4×6, 6×4, 8×3, 12×2, 24×1.

Explanation:

Factors: If two or more numbers are multiplied together to get a new number, then those numbers are called factors of that new number.

Factor pairs: If two numbers are multiplied to get a new number, then those numbers are called factor pairs of that new number. For example: Factor pairs of 6 are (1,6) and (2,3).

Further Explanation:

It is given that 24 square pieces of wood.

We need to find all the different ways you could make a rectangle by placing them side-by-side.

Find the factors of 24.

Now find factor pairs of 24.

So, the factor pairs of 24 are (1,24), (2,12), (3,8) and (4,6).

Here, (1,24) means 1 square pieces in row and 24 square pieces in column and (24, 1) means 24 square pieces in row and 1 square pieces in column. So, the other possible dimensions are (24,1), (12,2), (8,3) and (6,4).

Factor pair square pieces in row square pieces in column

(1,24) 1 24

(2,12) 2 12

(3,8) 3 8

(4,6) 4 6

(24,1) 24 1

(12,2) 12 2

(8,3) 8 3

(6,4) 6 4

Learn More:

For factor pairs : (Answered by Calculista)

For factors and factor pairs (Answered by DelcieRiveria)

Keywords:

Factors of a number, factor pairs