Break down each number into its place values:
24 = 20 + 4
31 = 30 + 1
Now use partial products to multiply each part:
(20 \cdot 30) = 600
(20 \cdot 1) = 20
(4 \cdot 30) = 120
(4 \cdot 1) = 4
Sum these partial products together:
600 + 20 + 120 + 4 = 744
Therefore, the product of 24 and 31 using partial products is 744.