Number Theory

Divisibility

An integer a divides b when b can be written as a times another integer.

Meaning

What Is Divisibility?

An integer a divides b when b can be written as a times another integer.

An integer a divides b when b can be written as a times another integer.

Examples

Examples of Divisibility

13 divides 12 because 12=3×4.
Understand

Formula and Key Points

Formula / rule
a | b
  • Know the definition and standard notation for Divisibility.
  • Be able to recognise or compute divisibility in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in cryptography, hashing, coding theory, security protocols and efficient integer algorithms.

FAQ

Divisibility: Frequently Asked Questions

What is Divisibility?

An integer a divides b when b can be written as a times another integer.

Why is Divisibility useful in computer science?

Used in cryptography, hashing, coding theory, security protocols and efficient integer algorithms.