Which of the following numbers is NOT divisible by 8?
2024
Which of the following numbers is NOT divisible by 8?
- A.
466
- B.
128
- C.
192
- D.
240
Show answer & explanation
Correct answer: A
A whole number is divisible by 8 exactly when dividing it by 8 leaves a remainder of 0. For a 3-digit number this can be checked directly by division, or via the standard shortcut that a number is divisible by 8 precisely when its last three digits (taken as a number) are divisible by 8.
466 divided by 8 = 58 remainder 2 (8 × 58 = 464, and 466 − 464 = 2) — 466 is NOT divisible by 8.
128 divided by 8 = 16 exactly (8 × 16 = 128) — 128 IS divisible by 8.
192 divided by 8 = 24 exactly (8 × 24 = 192) — 192 IS divisible by 8.
240 divided by 8 = 30 exactly (8 × 30 = 240) — 240 IS divisible by 8.
Since three of the four numbers divide evenly by 8 and only 466 leaves a nonzero remainder, 466 is the number that is NOT divisible by 8 — consistent with checking 464 (= 8 × 58) as the nearest multiple of 8 below 466.