A number leaves a remainder of 7 when divided by 32. What remainder will it leave when divided by 4?

💡 Solution & Explanation

The number can be written as 32n + 7 for some whole number n. Since 32 = 4 × 8, the part 32n divides exactly by 4. So only 7 matters: 7 ÷ 4 leaves a remainder of 3. This works only because 4 is a factor of 32.