Question

496,602 people voted in the ashland city council election. each candidate received the exact same number of votes. how many city council candidates could there have been? select all the possible numbers.

Explanation:

Step1: Check divisibility by 10

A number is divisible by 10 if its last - digit is 0. The number 496602 ends with 2, so it is not divisible by 10.

Step2: Check divisibility by 8

To check if a number is divisible by 8, we check if the number formed by its last three digits is divisible by 8. The last three digits of 496602 is 602. Since \(602\div8 = 75.25\), 496602 is not divisible by 8.

Step3: Check divisibility by 9

A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of 496602 is \(4 + 9+6 + 6+0 + 2=27\). Since \(27\div9 = 3\), 496602 is divisible by 9.

Step4: 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 496602 is 02. Since \(2\div4=0.5\), 496602 is not divisible by 4.

Answer:

None of the given options (10, 8, 9, 4) are correct as the number of voters 496602 is only divisible by 9 among them and we need all correct options for "select all the possible numbers".