Question

a muffin factory made 66,264 blueberry muffins. after arranging the muffins into packages, the factory did not have any leftover muffins. how many muffins could the factory be putting in each package? select all the possible numbers.

Explanation:

Step1: Check divisibility by 2

A number is divisible by 2 if its last - digit is even. The last digit of 66264 is 4, which is even. So 66264 is divisible by 2.

Step2: Check divisibility by 3

The sum of the digits of 66264 is \(6 + 6+2 + 6+4=24\). Since 24 is divisible by 3, 66264 is divisible by 3.

Step3: Check divisibility by 4

A number is divisible by 4 if the number formed by its last two digits is divisible by 4. The last two digits of 66264 is 64, and \(64\div4 = 16\), so 66264 is divisible by 4.

Step4: Check divisibility by 8

A number is divisible by 8 if the number formed by its last three digits is divisible by 8. The last three digits of 66264 is 264, and \(264\div8 = 33\), so 66264 is divisible by 8.

Answer:

4, 3, 8, 2