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  • 56 - 1 is divisible by
Multiple choice general knowledge math & puzzles

56 - 1 is divisible by

  1. 13

  2. 31

  3. 5

  4. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the property $a^n - b^n$ is divisible by $(a - b)$, $5^6 - 1$ is divisible by $(5^2)^3 - 1^3$, which is divisible by $5^2 - 1 = 24$, or $(5^3)^2 - 1^2$, divisible by $5^3 - 1 = 124$. Since $124 = 31 \times 4$, the expression is divisible by 31.

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