A number leaves a remainder of 23 when divided by 36. What remainder will it leave when divided by 12?

💡 Solution & Explanation

The number can be written as 36n + 23 for some whole number n. Since 36 = 12 × 3, the part 36n divides exactly by 12. So only 23 matters: 23 ÷ 12 leaves a remainder of 11. This works only because 12 is a factor of 36.