United University

Mathematics Grade 5. Divisibility of natural numbers. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 16 hours
Language version

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Interactive Course: Mathematics. Grade 5. Divisibility of Natural Numbers
An engaging and interactive course designed for children, featuring interactive tests and exercises.
This interactive course is structured to help students understand the concept of divisibility and its applications in natural numbers. Through engaging activities, quizzes, and interactive tests, students will learn how to identify divisibility rules, perform prime factorization, and work with greatest common divisors (GCD) and least common multiples (LCM). By the end of the course, students will have a solid grasp of the principles of divisibility and their practical use in problem-solving.

Key Concepts Covered in the Course

  • Divisibility rules for 10, 5, 2, 9, and 3
  • Prime factorization of numbers
  • Greatest common divisor (GCD) and mutually prime numbers
  • Least common multiple (LCM) and related problems

Course Modules

Module 1: Divisibility of Natural Numbers

  • Introduction to the concept of divisibility
  • Divisibility rules for 10, 5, and 2
  • Divisibility rules for 9 and 3
  • Prime and composite numbers
  • Prime factorization of natural numbers
  • Greatest common divisor (GCD)
  • Least common multiple (LCM)

 

Expected Learning Outcomes
By the end of this course, students will be able to:

  • Provide examples of prime and composite numbers, even and odd numbers, and numbers divisible by 2, 3, 5, 9, and 10.
  • Understand the concept of "rule" in divisibility and apply it to problem-solving.
  • Distinguish between prime and composite numbers, divisors, and multiples of natural numbers.
  • Formulate definitions for key terms: divisor, multiple, prime number, composite number, common divisor, and divisibility rules.
  • Solve exercises that involve: applying divisibility rules for numbers divisible by 2, 3, 5, 9, and 10; prime factorization of natural numbers up to 1,000; finding common divisors of two numbers; calculating the greatest common divisor (GCD) for up to 100; and determining the least common multiple (LCM) for two or more numbers within 100.

This course builds a strong foundation in number theory, helping students develop problem-solving skills in mathematics. The interactive tests and quizzes will provide students with immediate feedback and help reinforce their understanding of divisibility concepts, preparing them for further mathematical challenges.

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