| Question | Divisibility rule |
| Two numbers 42 and 24 are divisible by \(6\), then their sum and difference are divisible by \(6\). | |
| 60 is divisible by \(12\), then 60 is divisible by \(2\), \(3\), \(4\) and \(6\). | |
| The number \(36\) is divisible by \(9\), then \(A \times 36\) is also divisible by \(9\). \(A = 1, 2, ....\) |
Answer variants:
If \(A\) is divisible by \(k\), then all multiples of \(A\) are divisible by \(k\).
If \(a\) divides \(M\) and \(a\) divides \(N\), then \(a\) divides \(M + N\) and \(a\) divides \(M – N\).
If \(A\) is divisible by \(k\), then \(A\) is divisible by all the factors of \(k\).
If \(A\) is divisible by \(k\) and \(A\) is also divisible by \(m\), then \(A\) is divisible by the LCM of \(k\) and \(m\).