INDEX
Complex Numbers
Exponentiation
Algebraic Transformations
Algebraic Equations and Inequalities
Functions
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Numbers and Sets
Balloon

Introduction

About Algebra

Arithmetic Operations

Addition and Subtraction

Multiplication and Division

Criterions for Divisibility

Real Number System

Types of Numbers

Geometric Interpretation of Real Numbers

Irrational Number

Properties of Real Numbers

Fractions
Proportions

Property of Equal Proportions

Absolute Values

Graphical Illustrations

Sets and Intervals

Sets

Subsets

Operations with Sets

Intervals



Criterions for Divisibility
Key Topics Remaining: Types of Numbers » Geometric Interpretation of Real Numbers » Properties of Real Numbers » Fractions » Absolute Values » Sets » Intervals

  • An even number is divisible by 2.

  • A number is divisible by 3 if it is formed of digits, the sum of which is a number divisible by 3.

  • A number is divisible by 4 if its two last digits form a number, which is divisible by 4.

  • A number is divisible by 5 if its the last digit is zero or 5.

  • A number is divisible by 6 if it is divisible by 2 and by 3 at the same time.

  • A multidigit integer is divisible by 8 if its three last digits form a number, which is divisible by 8.

  • A number is divisible by 9 if it is formed of digits, the sum of which is a number divisible by 9.

  • A number is divisible by 10 if its the last digit is zero.

  • A multidigit integer is divisible by 25 if its two last digits form a number, which is divisible by 25.

  • A number is divisible by 100 if its two last digits are zeros.
    Examples
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