mr barton maths

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Factors

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Foundational skills
Understand factor terminology
\[ \text{True or false: } 4 \text{ is a factor of } 20 \]
Decide whether a statement about factors is true or false.
Identify a factor from a list
\[ \text{Which is a factor of } 24\text{?} \]
Pick the factor of a given number from a list of options.
Identify a non-factor from a list
\[ \text{Which is NOT a factor of } 36\text{?} \]
Pick the non-factor of a given number from a list of options.
Complete a factor pair
\[ 6 \times \text{?} = 42 \]
Find the missing number to complete a factor pair.
Identify the relationship
\[ \text{Factor, multiple, or neither?} \]
Determine if one number is a factor, multiple, or neither of another.
Factor pairs of small numbers
Factor pairs up to 24
\[ \text{Factor pairs of } 18 \]
Write all the factor pairs of a small number.
Factor pairs 25-50
\[ \text{Factor pairs of } 36 \]
Write all the factor pairs of a medium number.
Factor pairs 51-100
\[ \text{Factor pairs of } 72 \]
Write all the factor pairs of a larger number.
Factor pairs of perfect squares
\[ \text{Factor pairs of } 49 \]
Write all factor pairs of a perfect square.
Listing all factors
List factors up to 24
\[ \text{Factors of } 20 \]
Write all the factors of a small number in ascending order.
List factors 25-50
\[ \text{Factors of } 40 \]
Write all the factors of a medium number in ascending order.
List factors 51-100
\[ \text{Factors of } 84 \]
Write all the factors of a larger number in ascending order.
Count the factors
\[ \text{How many factors does } 48 \text{ have?} \]
Count the total number of factors of a given number.
Factors within a range
\[ \text{Factors of } 60 \text{ between } 5 \text{ and } 15 \]
Find factors of a number that fall within a specified range.
Common factors
Common factors (small)
\[ \text{Common factors of } 12 \text{ and } 18 \]
Find all factors that two small numbers share.
Common factors (larger)
\[ \text{Common factors of } 36 \text{ and } 48 \]
Find all factors that two larger numbers share.
Common factors of three numbers
\[ \text{Common factors of } 12, 18, 24 \]
Find all factors shared by three numbers.
Share a common factor > 1?
\[ \text{Do } 15 \text{ and } 28 \text{ share a factor} > 1\text{?} \]
Determine whether two numbers are coprime or share factors.
HCF by listing
HCF of two numbers (small)
\[ \text{HCF}(12, 16) \]
Find the HCF of two small numbers by listing their factors.
HCF of two numbers (medium)
\[ \text{HCF}(24, 36) \]
Find the HCF of two medium numbers by listing their factors.
HCF of two numbers (larger)
\[ \text{HCF}(48, 72) \]
Find the HCF of two larger numbers by listing their factors.
HCF of three numbers
\[ \text{HCF}(12, 18, 30) \]
Find the HCF of three numbers by listing.
HCF where one divides the other
\[ \text{HCF}(7, 35) \]
Recognise that when one number divides the other, the smaller is the HCF.
HCF of coprime numbers
\[ \text{HCF}(8, 15) = 1 \]
Recognise that coprime numbers have HCF of 1.
Applied problems
HCF in context – sharing equally
\[ \text{Largest number of bags?} \]
Use HCF to solve a real-world sharing problem.
HCF in context – arranging in rows
\[ \text{Largest group size?} \]
Use HCF to find the largest group size for arranging two quantities.
Find missing number given HCF
\[ \text{HCF}(12, ?) = 6 \]
Work backwards from a known HCF to find a possible number.
Special cases
Factors of 1
\[ \text{Factors of } 1 \]
Recognise that 1 has exactly one factor.
Factors of a prime
\[ \text{Factors of } 17 \]
Recognise that prime numbers have exactly two factors.
Counting factors of a square
\[ \text{How many factors does } 36 \text{ have?} \]
Recognise that perfect squares have an odd number of factors.
HCF of consecutive numbers
\[ \text{HCF}(14, 15) \]
Recognise that consecutive integers are always coprime.
HCF of a number and its double
\[ \text{HCF}(18, 36) \]
Recognise that when one number is double the other, the HCF equals the smaller.
Timer (Optional)
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