Question

which list shows only multiples of 8? 2, 4, 8; 24, 32, 40; 32, 96, 108; 34, 42, 50

Explanation:

Step1: Recall multiples of 8

A multiple of 8 is a number that can be written as \(8\times n\) where \(n\) is an integer. The multiples of 8 start as \(8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, \dots\)

Step2: Check each list

• For the list \(2, 4, 8\): \(2\) and \(4\) are not multiples of 8 (since \(2\div8 = 0.25\) and \(4\div8=0.5\), not integers).
• For the list \(24, 32, 40\):
• \(24\div8 = 3\) (integer), so 24 is a multiple of 8.
• \(32\div8 = 4\) (integer), so 32 is a multiple of 8.
• \(40\div8 = 5\) (integer), so 40 is a multiple of 8.
• For the list \(32, 96, 108\): \(108\div8 = 13.5\) (not an integer), so 108 is not a multiple of 8.
• For the list \(34, 42, 50\):
• \(34\div8 = 4.25\) (not an integer),
• \(42\div8 = 5.25\) (not an integer),
• \(50\div8 = 6.25\) (not an integer). None are multiples of 8.

Answer:

The list \(24, 32, 40\) (the option with 24, 32, 40)