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Factors, Multiples & Primes Basics
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Foundational skills
Recognise a multiple of a given number
\[ \text{Is } 36 \text{ a multiple of } 4\text{?} \]
Decide whether one number is a multiple of another.
Recognise a factor of a given number
\[ \text{Is } 7 \text{ a factor of } 56\text{?} \]
Decide whether one number is a factor of another.
Understand the factor-multiple relationship
\[ 6 \text{ is a factor of } 30. \text{ So…} \]
Complete a statement linking factors and multiples.
Multiples
Identify multiples from a list
\[ \text{Multiples of } 6\text{: } 18, 25, 36… \]
Select all the multiples of a given number from a list.
Write the first n multiples of a number
\[ \text{First 5 multiples of } 7 \]
List the first few multiples of a given number.
List multiples within a range
\[ \text{Multiples of } 8 \text{ from } 20\text{-}60 \]
Find all multiples of a number that fall within a given range.
Factors
List all factors of a number (up to 50)
\[ \text{Factors of } 24 \]
Write all the factors of a number up to 50 in order.
List all factors of a number (51 to 100)
\[ \text{Factors of } 84 \]
Write all the factors of a number between 51 and 100 in order.
Find the missing factor
\[ 4 \times \text{___} = 52 \]
Find the number that completes a multiplication.
Identify factors from a list
\[ \text{Factors of } 48\text{: } 3, 5, 6… \]
Select all the factors of a given number from a list.
Prime numbers
Recognise prime numbers up to 20
\[ \text{Is } 13 \text{ prime?} \]
Decide whether a number up to 20 is prime.
Recognise prime numbers up to 100
\[ \text{Is } 51 \text{ prime?} \]
Decide whether a number up to 100 is prime.
Identify the prime number(s) from a list
\[ 21, 23, 25, 27, 29 \]
Select all prime numbers from a given list.
List prime numbers in a range
\[ \text{Primes between } 30 \text{ and } 50 \]
Write all prime numbers within a given range.
Find the next prime numbers
\[ \text{Next 3 primes after } 31 \]
List the next few primes after a given prime.
Recognise composite numbers
\[ \text{Is } 35 \text{ composite?} \]
Decide whether a number is composite (not prime).
Identify special cases of primality
\[ \text{True/False: } 1 \text{ is prime} \]
Understand: 1 is not prime, 2 is the only even prime.
Classifying numbers
Classify as prime or composite
\[ 17, 21, 29, 33 \]
Sort numbers into prime and composite categories.
Classify as factor or multiple
\[ 8 \text{ is a \_\_\_ of } 56 \]
Complete the statement: factor or multiple.
True or false statements about a number
\[ 42: \text{ multiple of } 7 \text{ AND } 8\text{?} \]
Evaluate statements about factors and multiples.
Find numbers matching multiple criteria
\[ \text{Multiple of } 3 \text{ AND } 4 \]
Find a number satisfying two or more conditions.
Special cases
Square numbers have odd factor counts
\[ \text{How many factors of } 36\text{?} \]
Square numbers have an odd number of factors.
Compare factor counts
\[ 24 \text{ or } 25\text{: more factors?} \]
Compare the number of factors of two numbers.
Identify shared factors of two numbers
\[ \text{Factors of both } 24 \text{ and } 36 \]
List numbers that are factors of two given numbers.
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