Total number of bedazzled vests made = 8.
We need to find the combinations of the number of buttons, zippers and sparkly stickers that she used to make the vests.
First we need to find all the factors of 8.
Factors of 8 are : 1,2,4,8.
Now we need to find the combinations threes of those factors of 8.
1×2×4 = 8
1×1×8 = 8
2×2×2 = 8.
Therefore, there could be only three combinations of number of buttons, zippers and sparkly stickers that she used to make the vests.
1,2,4
1,2,8 and
2,2,2.