When 45 is divided by a certain number, the remainder is 5. What could be the di
Practice Questions
Q1
When 45 is divided by a certain number, the remainder is 5. What could be the divisor? (2023)
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Questions & Step-by-Step Solutions
When 45 is divided by a certain number, the remainder is 5. What could be the divisor? (2023)
Step 1: Understand that when a number is divided, it can leave a remainder. In this case, when 45 is divided by a certain number, the remainder is 5.
Step 2: Remember that the divisor (the number you are dividing by) must be greater than the remainder. Since the remainder is 5, the divisor must be greater than 5.
Step 3: List some numbers greater than 5 that could be divisors. For example, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, etc.
Step 4: Check if any of these numbers can divide 45 and leave a remainder of 5. This means we need to see if 45 minus 5 (which is 40) is divisible by the divisor.
Step 5: For example, if we try 15 as a divisor: 45 divided by 15 equals 3 with a remainder of 0. This does not work because we need a remainder of 5.
Step 6: Now, let's try 10: 45 divided by 10 equals 4 with a remainder of 5. This works! So, 10 is a valid divisor.
Step 7: You can check other numbers like 6, 7, 8, 9, and see if they also give a remainder of 5 when dividing 45.
