Theory of Positive Integers

An exploration of the properties, relationships, and applications of positive integers in various mathematical contexts.

Introduction to Positive IntegersDivisibility and MultiplesPrime Numbers and Composite Numbers
Greatest Common Divisor and Least Common MultipleThe Fundamental Theorem of ArithmeticNumber Patterns and Sequences
Using Positive Integers in Everyday LifePositive Integers in TechnologyOrganizing Events and Schedules
Breaking Down Problems with FactorizationUsing Patterns to Predict and Solve
Introduction to Posi...Divisibility and Mul...Prime Numbers and Co...Greatest Common Divi...The Fundamental Theo...Number Patterns and ...Using Positive Integ...Positive Integers in...Organizing Events an...Breaking Down Proble...Using Patterns to Pr...
Study Strategies

Using Patterns to Predict and Solve

Spotting and Using Patterns

Look for number patterns or sequences in problems. Recognizing these can help you make predictions or solve problems faster.

Why Patterns Work

Numbers often follow rules, and patterns help us guess what comes next or check our answers.

Examples

  • Finding the next number in the sequence: 2, 4, 8, 16, __?

  • Predicting the winner in a round-robin tournament by spotting patterns in scores.