Which of the following numbers is NOT divisible by 8?

2024

Which of the following numbers is NOT divisible by 8?

Answer: A. 466A 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…

  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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