1. **State the problem:** Nancy has 12 daisies and wants to arrange them in arrays with equal numbers of flowers in each row and column using all 12 daisies. 2. **Formula and rules:** To form an array using all flowers, the total number of flowers must equal the product of the number of rows and columns: $$\text{total flowers} = \text{rows} \times \text{columns}$$ 3. **Check each proposed array:** - 1 row of 12 daisies: $$1 \times 12 = 12$$ (Yes, uses all daisies) - 2 rows of 6 daisies: $$2 \times 6 = 12$$ (Yes, uses all daisies) - 3 rows of 3 daisies: $$3 \times 3 = 9$$ (No, only 9 daisies used, 3 left unused) - 4 rows of 3 daisies: $$4 \times 3 = 12$$ (Yes, uses all daisies) - 5 rows of 2 daisies: $$5 \times 2 = 10$$ (No, only 10 daisies used, 2 left unused) - 6 rows of 2 daisies: $$6 \times 2 = 12$$ (Yes, uses all daisies) 4. **Summary:** Nancy can make arrays with 1 row of 12, 2 rows of 6, 4 rows of 3, and 6 rows of 2 daisies using all 12 daisies. Arrays with 3 rows of 3 or 5 rows of 2 daisies do not use all daisies. **Final answers:** - 1 row of 12 daisies: Yes - 2 rows of 6 daisies: Yes - 3 rows of 3 daisies: No - 4 rows of 3 daisies: Yes - 5 rows of 2 daisies: No - 6 rows of 2 daisies: Yes