
Build factors assessments for Years/Grades 4-10 that diagnose how well students identify factor pairs, multiples, prime factors and the greatest common factor. Use the results to plan lessons that close real gaps.

The factors assessment measures whether students can list factors of a whole number, recognise prime and composite numbers, and use factor pairs to solve problems involving divisibility, multiplication and division.


Tutero's factors assessments cover factor pairs, prime factorization, factor trees and the greatest common factor. Choose digital or printable formats, group questions by difficulty, and align each question to your year or grade-level standards.
These assessments include word problems that ask students to apply factor reasoning to real situations: sharing items into equal groups, finding common multiples, simplifying fractions and breaking numbers into their prime parts. Teachers see exactly which step a student gets stuck on.

The digital diagnostic gives every student a unique set of factor questions and grades them automatically. You see which students confuse factors with multiples, which ones can find prime factors but stall on the greatest common factor, and which ones are ready for harder work.
Students answer interactive factor questions that include drag-and-drop factor trees, multiple choice on prime versus composite numbers, and short-response questions on greatest common factor. Built-in hints keep students moving without you running between desks.
Once the assessment is marked, Tutero suggests next lessons mapped to the misconceptions it found, so you can pull a small group on prime factorization while the rest of the class moves to the next topic.
- You in approximately four minutes
Finding factors and factor pairs
Students list all factors of a whole number, identify factor pairs, and decide whether a number is prime or composite. Questions range from quick recall on numbers up to 100 through to factor pairs of larger numbers, with optional printable versions for in-class practice.
Greatest common factor and prime factorization
Students work through greatest common factor (highest common factor) questions and prime factorization using factor trees. You can mix calculator and non-calculator items, set the number range to match your year or grade level, and watch live progress as students submit. Tutero flags students who confuse factors with multiples and groups them automatically for follow-up.
Using factors in algebra
Senior questions extend factor work into algebra: factorising expressions, finding common factors of polynomials, and using prime factorization to simplify surds and fractions. Each question links back to the underlying factor skill so you can see whether a Year 9 or Year 10 student is stuck on the algebra or on a gap from earlier number work.