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

Breaking Down Problems with Factorization

Factorization as a Tool

When faced with tricky number problems, try breaking numbers down into their prime factors. This makes it easier to spot patterns, simplify fractions, and solve puzzles!

How It Helps

  • Simplifies math problems
  • Reveals hidden patterns
  • Makes calculations manageable

Examples

  • To simplify \( \frac{18}{24} \), break into primes: 18 = 2 × 3 × 3, 24 = 2 × 2 × 2 × 3.

  • Solving least common multiples by finding prime factors first.

Next
Using Patterns to Predict and Solve