1. **State the problem:** We have 20 apples to be sorted into bags. Each bag must have the same number of apples. Each bag must contain more than one apple. There must be more than one bag. 2. **Understand the problem:** We need to find all possible numbers of apples per bag such that: - The number of apples per bag divides 20 exactly (no apples left over). - Each bag has more than 1 apple. - There is more than 1 bag. 3. **Use the divisor rule:** The number of apples per bag must be a divisor of 20. The divisors of 20 are: 1, 2, 4, 5, 10, 20. 4. **Apply the conditions:** - More than one apple per bag means exclude 1. - More than one bag means the number of bags must be greater than 1. 5. **Calculate number of bags for each divisor:** - If apples per bag = 2, bags = $\frac{20}{2} = 10$ (valid, bags > 1) - If apples per bag = 4, bags = $\frac{20}{4} = 5$ (valid) - If apples per bag = 5, bags = $\frac{20}{5} = 4$ (valid) - If apples per bag = 10, bags = $\frac{20}{10} = 2$ (valid) - If apples per bag = 20, bags = $\frac{20}{20} = 1$ (not valid, only one bag) 6. **Final possibilities:** The number of apples per bag could be 2, 4, 5, or 10. **Answer:** The possible numbers of apples per bag are $2, 4, 5,$ or $10$.