Multiples, factors and primes worksheet

This worksheet, created by KS2Gems, offers a comprehensive set of activities that aim to enhance students' understanding of factors, multiples, and prime numbers. Activities 1 to 4 focus on factors, where students use whiteboards and pens to engage in various tasks such as writing down numbers that share given factors and determining which number between 1 and 20 has the most factors. These activities encourage the use of strategies, like excluding prime numbers to find answers more efficiently, and they involve the whole class through the use of digit cards ranging from 1 to 9.

For multiples, covered in Activities 5 to 8, students practice identifying multiples of single-digit numbers within a time limit, determining common multiples of two single-digit numbers, and recognising patterns in the multiples of 99. These exercises utilise whiteboards, pens, and number cards to create an interactive learning environment. Prime numbers are explored in Activities 9 to 12, where students use tools like the Sieve of Eratosthenes and multiplication squares to find prime numbers within specific ranges and investigate Goldbach's conjecture. The final challenge involves completing a grid with prime numbers so that each row, column, and diagonal add up to 111, with reflections of the numbers being a possible solution. These activities not only reinforce the identification of prime numbers but also encourage critical thinking and problem-solving skills.