Veda Bites are swipeable micro-lessons — each one teaches exactly one
idea. Here's a taste from this kit; the app has the full deck.
💡 Key Idea
Why Divisibility Rules Matter
Quick checks without long division.
Divisibility rules are shortcuts to determine whether one integer divides another without performing full division. They are essential for simplifying fractions, finding factors, and solving problems in number theory.
↳ Divisibility rules turn tedious division into quick mental checks.
📖 Definition
What Does 'Divisible' Mean?
Exact division with no remainder.
An integer $a$ is divisible by an integer $b$ (where $b \neq 0$) if there exists an integer $k$ such that $a = b \times k$. In other words, dividing $a$ by $b$ leaves a remainder of $0$.
↳ Divisibility means the remainder is zero.
⭐ Important Fact
Divisibility by 2, 5, and 10
Check the last digit.
↳ For 2, 5, and 10, just look at the last digit.
📖 Smart notes
What you'll study, topic by topic
1
Divisibility Rules
Divisibility rules are quick mental shortcuts to determine if one integer divides another without performing full division. They rely on digit patterns, sums, or combinations of simpler rules, and are essential for prime...
Divisibility means the remainder is zero.
For 2, 5, and 10, check the last digit.
For 3 and 9, sum the digits and check divisibility of the sum.
~8 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
16 questions laddered from warm-up to topper-level, each with an explanation. A taste:
Which of the following numbers is divisible by 2?
Beginner
A 123B 345C 678D 901
Show answer & explanation
678
A number is divisible by 2 if its last digit is even. Only 678 ends in 8, an even digit.
Which number is divisible by 3?
Beginner
A 342B 124C 457D 235
Show answer & explanation
342
Sum of digits of 342 is 3+4+2=9, which is divisible by 3. Others have sums not divisible by 3.
Which of the following is divisible by 4?
Beginner
A 9102B 1124C 5678D 1234
Show answer & explanation
1124
A number is divisible by 4 if its last two digits form a number divisible by 4. 24 is divisible by 4, so 1124 is.
Which number is divisible by 5?
Beginner
A 901B 123C 345D 678
Show answer & explanation
345
A number is divisible by 5 if its last digit is 0 or 5. 345 ends in 5.
🃏 Flashcards
Tap a card to flip it
18 flashcards in this kit — the app reviews them with
spaced repetition so the right card returns on the right day.
The full Veda Bites deck, complete notes, spaced-repetition
flashcards, leveled MCQs, tests and games for this kit — plus
Daily Facts and the Arena, every day.