Number Theory
Year 6 students investigate properties of whole numbers including factors, multiples, divisibility rules, and the distinction between prime and composite numbers.
What You Need to Know
Key Concept Diagram
Factors of a number divide it exactly with no remainder; multiples are the results of multiplying it by whole numbers
Divisibility rules provide quick tests: a number is divisible by 2 if it is even; by 3 if its digit sum divides by 3; by 5 if it ends in 0 or 5
The Highest Common Factor (HCF) is the largest factor shared by two or more numbers
The Lowest Common Multiple (LCM) is the smallest multiple shared by two or more numbers
Key Vocabulary
Factor
A whole number that divides another exactly with no remainder
Multiple
The result of multiplying a number by a positive integer
Highest Common Factor (HCF)
The largest factor that two or more numbers share
Lowest Common Multiple (LCM)
The smallest multiple that two or more numbers share
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
What is the HCF of 24 and 36?
Question 2
What is the LCM of 4 and 6?
Question 3
Is 462 divisible by 3?
Key Concepts Summary
- ●Factors of a number divide it exactly with no remainder; multiples are the results of multiplying it by whole numbers
- ●Divisibility rules provide quick tests: a number is divisible by 2 if it is even; by 3 if its digit sum divides by 3; by 5 if it ends in 0 or 5
- ●The Highest Common Factor (HCF) is the largest factor shared by two or more numbers
- ●The Lowest Common Multiple (LCM) is the smallest multiple shared by two or more numbers