Subjects arithmetic

Cube Sections 48A10B

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1. **State the problem:** James made a cube train with 24 cubes, and the train is divided into sections, each with an even number of cubes. We need to find all possible numbers of cubes per section. 2. **Understand the problem:** The total number of cubes is 24. The number of cubes in each section must be an even number, and the total number of cubes must be divisible by the number of cubes per section. 3. **List even divisors of 24:** First, find all even numbers that divide 24 exactly. 4. **Find divisors of 24:** The divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. 5. **Select even divisors:** From these, the even divisors are 2, 4, 6, 8, 12, 24. 6. **Interpretation:** Each of these even numbers could be the number of cubes in each section. 7. **Final answer:** The possible numbers of cubes in each section are $2, 4, 6, 8, 12,$ or $24$ cubes.