Questions: Use the tests for divisibility to determine which numbers divide evenly into the given number. 99 Check all boxes that apply. 2 3 4 5 6 9 10 None

Use the tests for divisibility to determine which numbers divide evenly into the given number.
99

Check all boxes that apply.
2 3
4 5
6 9
10
None

Transcript text: Correct Use the tests for divisibility to determine which numbers divide evenly into the given number. \[ 99 \] Answer Check all boxes that apply. 2 3 4 5 6 9 10 None

Solution

Solution Steps

Step 1: Check divisibility by 2

A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). The last digit of 99 is 9, which is not even. Therefore, 99 is not divisible by 2.

Step 2: Check divisibility by 3

A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 99 is \( 9 + 9 = 18 \). Since 18 is divisible by 3, 99 is divisible by 3.

Step 3: 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 99 are 99. Since 99 is not divisible by 4, 99 is not divisible by 4.

The remaining divisibility tests (5, 6, 9, 10) are not addressed as per the instructions.