Kit Library / Mathematics / Number Theory

Quick Kit

Divisibility Quick Kit

En 16 leveled MCQs 18 flashcards Free

Shared by a Veda learner · Generated with Veda AI

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The whole idea, one bite at a time

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💡 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 123 B 345 C 678 D 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 342 B 124 C 457 D 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 9102 B 1124 C 5678 D 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 901 B 123 C 345 D 678
Show answer & explanation

345

A number is divisible by 5 if its last digit is 0 or 5. 345 ends in 5.

🃏 Flashcards

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