About this worksheet

Finding factor pairs builds a strong foundation for later work with multiplication, division, fractions and prime numbers. This worksheet gives Year 4 students systematic practice identifying all the whole-number pairs that multiply together to make a given target number.

The worksheet follows EduLift’s four-part structure, with 29 questions worth 53 marks in total. The Fluency section (16 marks) has students find all the factor pairs of numbers up to 50. The Core section (21 marks) applies this skill to real-world problems involving classroom seating, garden planting and sharing chocolates evenly, including two-part questions that ask students to choose the best arrangement from several valid factor pairs. The Reasoning section (9 marks) asks students to explain what a factor pair is, justify the square-root shortcut for finding all pairs, and compare numbers with different amounts of factor pairs. The Challenge section (7 marks) extends students with inverse problems and reasoning about prime numbers within a range.

Every question and answer on this worksheet has been checked for accuracy, and the worksheet has been reviewed for clear layout and age-appropriate language before publishing.

This worksheet is aligned to the WA SCSA Mathematics curriculum for Year 4, under the Number and Algebra strand (code WA4MNAFA1), and is free to download and use for classroom or home practice.

Common errors we see in tutoring

• Stopping before finding every factor pair of a number
• Listing the same factor pair twice in a different order
• Forgetting that 1 and the number itself always form a factor pair
• Confusing a factor pair with a multiple of the number