- Prime Numbers Factors and Multiples
- Home
- Even and Odd Numbers
- Divisibility Rules for 2, 5, and 10
- Divisibility Rules for 3 and 9
- Factors
- Prime Numbers
- Prime Factorization
- Greatest Common Factor of 2 Numbers
- Greatest Common Factor of 3 Numbers
- Introduction to Distributive Property
- Understanding the Distributive Property
- Introduction to Factoring With Numbers
- Factoring a Sum or Difference of Whole Numbers
- Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Word Problem Involving the Least Common Multiple of 2 Numbers

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Divisibility Rules for 2, 5, and 10

**Divisibility** − A number **m** is said to be divisible by another number **n**

if **n** divides **m** completely without leaving a remainder.

### Divisibility Rule for 2

- If a number ends in a 0, 2, 4, 6 or 8, it is divisible by 2.
- All even numbers, by definition, are divisible by 2.

Some **examples** of numbers divisible by 2 are as follows.

24, 18, 68, 108, 184, 1020.

### Divisibility Rule for 5

- If a number ends in either a 0 or 5, it is divisible by 5.

Some **examples** of numbers divisible by 5 are

15, 35, 75, 125, 505, 1000.

### Divisibility Rule for 10

- If a number ends in a 0, it is divisible by 10.
- Also if a number is divisible by both 2 and 5, it is divisible by 10.

Some **examples** of numbers divisible by 10.

20, 50, 90, 110, 170, 1200.

Find the divisibility of the numbers in following table −

### Solution

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