| Question | Divisibility rule |
| Two numbers 42 and 6 are divisible by \(6\), then their sum and difference are divisible by \(6\). | |
| 72 is divisible by \(12\), then 72 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 \(A\) 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 \(m\).
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 \(M – N\).