To find out how many packs of mint-flavored gum the factory made, we can calculate 45% of the total number of packs, which is 1,400.
First, we convert the percentage to a decimal:
\[ 45% = \frac{45}{100} = 0.45 \]
Next, we multiply the total number of packs by the decimal:
\[ \text{Number of mint packs} = 0.45 \times 1,400 \]
Now, we perform the multiplication:
\[ 0.45 \times 1,400 = 630 \]
Therefore, the factory made 630 packs of mint-flavored gum.