Number factorization

Overview

Build a foundation in factors, multiples, divisibility, and prime factorization. Learn rapid divisibility tests and calculate HCF and LCM to solve real-world grouping, sharing, and scheduling challenges with precision.

What you'll learn

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

Advantages and disadvantages

Advantages

University courses you can audit for free, with lectures, readings and practice quizzes.
A verified certificate from the university if you pay for it.
Self-paced: start any time.

Disadvantages

Graded assignments and the certificate need the paid track.
Audit access can expire a few weeks after the course ends.
Learning is free, but the certificate costs money.
Some parts (graded work, certificate) are paid.

Some points apply to every course of this kind; see how we rank.

Free to audit

Free: Choose "Audit this course" when you enrol: lectures, readings and practice are free.
Paid: Graded assignments and the verified certificate (Certificate $45). Audit access may end after the course closes.