Which of the following numbers is NOT divisible by 8?

2024

Which of the following numbers is NOT divisible by 8?

  1. A.

    466

  2. B.

    128

  3. C.

    192

  4. 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.

  1. 466 divided by 8 = 58 remainder 2 (8 × 58 = 464, and 466 − 464 = 2) — 466 is NOT divisible by 8.

  2. 128 divided by 8 = 16 exactly (8 × 16 = 128) — 128 IS divisible by 8.

  3. 192 divided by 8 = 24 exactly (8 × 24 = 192) — 192 IS divisible by 8.

  4. 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.

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