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edX

Number factorization

via edX

Overview

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This beginner path develops fluency with factors, factor pairs, multiples, and the classification of numbers as prime or composite. You will also learn quick divisibility tests for common divisors and understand why they work in base ten.

You will break composite numbers into prime factors using factor trees and repeated division, then express the results using index notation. These skills support efficient methods for finding the Highest Common Factor (HCF) and Lowest Common Multiple (LCM).

By the end of the path, you will be able to decide whether HCF or LCM is appropriate and apply each method to practical problems involving equal groups, sharing, and repeating schedules.

Syllabus

  • Identify factors, factor pairs, multiples, prime numbers, and composite numbers
  • Apply divisibility tests for 2, 3, 4, 5, 6, 9, and 10
  • Decompose composite numbers into prime factors
  • Express prime factorizations using index notation
  • Calculate HCF and LCM using lists and prime factorization
  • Choose between HCF and LCM for a given problem
  • Solve grouping, sharing, and repeating-cycle problems

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