A number leaves a remainder of 26 when divided by 35. What remainder will it leave when divided by 5?

💡 Solution & Explanation

The number can be written as 35n + 26 for some whole number n. Since 35 = 5 × 7, the part 35n divides exactly by 5. So only 26 matters: 26 ÷ 5 leaves a remainder of 1. This works only because 5 is a factor of 35.