Academics · Grades 7–8
Introductory Number Theory
A term on number theory—divisibility, factors, and remainders, and what they reveal about a number.
Course overview
- Homework: 60 minutes a week
- Prerequisite: Math Olympiad 7, or placement
What you’ll learn
Mental Math
Divisibility and remainders read straight off the digits, least common multiple and greatest common divisor on sight, and the exponent laws.
Skill Builder
The full set of divisibility tests, GCF and LCM for composites and for powers, and prime factorization used as a working tool rather than a definition.
Problem Solving
Counting a number’s factors and summing them, factorials and primes, the relationship between LCM and GCD, and reasoning entirely in remainders.
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Is this the right level?
A student ready to go deep on the structure of whole numbers rather than broad across topics. New to Ardent? A short placement confirms the fit. Schedule a placement →