Prime Factors & Divisibility Class 6 IB Worksheet Free PDF Download with Answers
Break numbers down to their building blocks. 60 questions on prime factorisation, HCF, LCM, and divisibility rules.
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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!
Class 6 Maths Worksheet — Free PDF with Answers
This is your one-stop class 6 maths worksheet collection — every topic, every chapter, completely free with step-by-step answers. Whether you searched for a maths class 6 worksheet or a worksheet math class 6 resource, you have landed in the right place. SparkEd's Class 6 maths practice covers the full IB MYP syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.
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Each maths worksheet for class 6 includes a mix of short-answer, long-answer, and maths questions and answers for class 6 in MCQ format. You get a complete maths worksheet for class 6 with answers, making self-study easy. The content is suitable as a maths worksheet for class 6 cbse as well as a maths worksheet for class 6 ncert resource — both boards follow the same core syllabus. Looking for a simpler label? It is the same math worksheet for class 6 you need.
For revision before exams, try the maths worksheet for class 6th with answers alongside our maths mcq for class 6 with answers sets. Teachers can use the class 6 maths mcq question paper bank for quick classroom tests. Browse all class 6 maths worksheets cbse topics on the All Class 6 worksheets page, or start with the popular Number Play worksheet. Ready to practise? Head to SparkEd home and pick your chapter.
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IB MYP Maths Worksheet — Free PDF with Answers
SparkEd's IB MYP Year 1 maths worksheets are designed for students in the International Baccalaureate Middle Years Programme. Each worksheet has 60 questions across three difficulty levels, with complete step-by-step answers.
Whether you are building your number theory foundation or preparing for assessments, these worksheets are free to download as printable PDFs.
Want to practise Prime Factors and Divisibility digitally? Try free online practice on SparkEd — instant grading, visual solutions, and an AI coach to help when you are stuck.
Prime Factors and Divisibility — The DNA of Numbers
Every whole number greater than 1 is either a prime number or can be written as a unique product of prime numbers. This idea — the Fundamental Theorem of Arithmetic — is one of the most beautiful facts in all of mathematics.
The IB MYP framework uses prime factorisation as a tool for understanding number relationships. HCF and LCM are not just abstract concepts — they help you simplify fractions, find common denominators, and solve real-world problems about scheduling and sharing.
This worksheet gives you 60 questions covering the complete journey from identifying primes to applying HCF and LCM in context.
What Does This Worksheet Cover?
Aligned with the IB MYP Year 1 mathematics framework:
- Prime and composite numbers — identification and reasoning
- Factor pairs — systematic listing of all factors
- Prime factorisation — factor trees and repeated division
- Index notation — writing instead of
- HCF — using prime factorisation
- LCM — using prime factorisation
- Divisibility rules — for 2, 3, 4, 5, 6, 8, 9, 10
- Applications — simplifying fractions, real-world HCF/LCM problems
| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Identify primes, list factors, divisibility tests, basic factor trees | 20 |
| Level 2 | Prime factorisation with index notation, HCF and LCM | 20 |
| Level 3 | HCF/LCM word problems, three-number HCF/LCM, reasoning | 20 |
Sample Questions
Level 1 — Warm Up
- Is prime or composite? Explain how you checked.
- List all factor pairs of .
- Use divisibility rules: is divisible by (a) 3? (b) 4? (c) 9?
Level 2 — Build Confidence
- Write the prime factorisation of using index notation.
- Find the HCF of and using prime factorisation.
- Find the LCM of and .
Level 3 — Push Yourself
- Find the HCF and LCM of , , and .
- Two lighthouses flash at intervals of seconds and seconds. If they flash together at time , after how many seconds will they next flash together?
- The HCF of two numbers is and their LCM is . One number is . Find the other. Use the relationship: HCF LCM = product of the two numbers.
Tips for Prime Factors and Divisibility
Tips for Prime Factors and Divisibility
1. To test if a number is prime, you only need to check divisibility up to its square root. For , check primes up to . So test . None divide , so it is prime.2. Use index notation to keep things tidy. Write rather than . It is shorter and makes HCF/LCM calculations clearer.
3. For HCF, take the lowest power of each common prime. For LCM, take the highest power of every prime that appears. Line up the prime factorisations side by side.
4. The HCF x LCM product rule is a powerful shortcut. If you know the HCF, LCM, and one of the numbers, you can find the other number.
5. Divisibility rules save time in exams. A number is divisible by 6 if it is divisible by both 2 AND 3. It is divisible by 4 if the last two digits form a number divisible by 4.
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Get the full Prime Factors and Divisibility worksheet with 60 questions and step-by-step answers.
Download here: Prime Factors & Divisibility Class 6 IB Worksheet
Practice online: Prime Factors & Divisibility — Online Practice
Related Worksheets
Deepen your number theory:
- Number Operations Class 6 IB Worksheet — solid arithmetic needed for factorisation
- Fractions & Decimals Class 6 IB Worksheet — HCF simplifies fractions, LCM finds common denominators
- Patterns & Sequences Class 6 IB Worksheet — prime patterns and divisibility patterns
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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!
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