When 56 is divided by a number, the remainder is 4. What could be the divisor? (

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Question: When 56 is divided by a number, the remainder is 4. What could be the divisor? (2023)

Options:

Correct Answer: 6

Exam Year: 2023

Solution:

The divisor must be greater than the remainder, so 6 is a valid divisor (56 = 6*9 + 2).

When 56 is divided by a number, the remainder is 4. What could be the divisor? (2023)

When 56 is divided by a number, the remainder is 4. What could be the divisor? (2023)

Step 1: Understand that when we divide a number, the remainder is what is left over after the division.
Step 2: In this case, when 56 is divided by a number (the divisor), the remainder is 4.
Step 3: This means that 56 can be expressed as: 56 = (divisor * quotient) + remainder.
Step 4: Since the remainder is 4, the divisor must be greater than 4 because a remainder cannot be equal to or greater than the divisor.
Step 5: List possible divisors that are greater than 4. For example, 5, 6, 7, 8, etc.
Step 6: Check if 6 can be a divisor. Calculate: 56 divided by 6 gives a quotient of 9 and a remainder of 2 (56 = 6*9 + 2).
Step 7: Since the remainder is not 4 when using 6, we need to check other divisors.
Step 8: Check 8 as a divisor. Calculate: 56 divided by 8 gives a quotient of 7 and a remainder of 0 (56 = 8*7 + 0).
Step 9: Continue checking other divisors until you find one that gives a remainder of 4.

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