➗ Divisibility
4 exam question types, fully solvedDivisibility questions are won with digit tricks, not long division. Learn the small rules, and break bigger divisors into co-prime parts.
2: last digit even · 5: last digit 0 or 5 · 10: last digit 0
3: digit sum divisible by 3 · 9: digit sum divisible by 9
4: last two digits divisible by 4 · 8: last three digits divisible by 8
11: (sum of digits in odd places) − (sum in even places) is 0 or a multiple of 11
Big divisors — split into CO-PRIME parts: 24 = 8 × 3, 36 = 4 × 9, 75 = 3 × 25. The number must pass both rules. Never use 4 × 6 for 24 — they share a factor of 2.
For 7296, digit sum = 24, a multiple of 3, so it is by 3.
Q1For 51A28 to be divisible by 3, the smallest digit A can be is:
Q2Which number is divisible by 11?
Q3To be divisible by 12, a number must be divisible by:
Real exam questions — Divisibility
4 question types · 12 solved examples from real SSC papersDivisibility questions reward digit tricks over long division. These are the exact shapes examiners repeat.
For a bigger divisor, break it into smaller co-prime factors and apply each rule. For example 24 = 8 × 3.
Never do long division on the whole number — the digit rule is far faster.
Which of the following is divisible by 4?
Which of 11863, 11368, 12638, 11638 is divisible by 11?
Which of the following is divisible by 24?