## 1460.21 – Target Products

For each case below, estimate which two numbers have a product that's closest to the target number. Then use your calculator to check. Keep going until you get closest to the target.

- 10, 11, 12, 13, 14, 15,
**target:**170 - 7, 10, 13, 16, 19, 22,
**target:**200 - 24, 30, 36, 19, 22,
**target:**715 - 13, 21, 29, 38, 46, 54,
**target:**1000

## Solution

This will involve lots of guessing-and-trying, since there are 15 possible products for each case. One way to speed things up is to suggest that students try dividing a trial factor into the target number to see whether they get something that's close to another possible factor in the list. The best answers are these:

- $12 \times 14 = 168$
- $13 \times 16 = 208$
- $24 \times 30 = 720$
- $21 \times 46 = 966$