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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.

IBClass 6
SparkEd Team · Reviewed by Vivek Verma15 April 20267 min read
Prime Factors and Divisibility Class 6 IB Worksheet — SparkEd

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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

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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 23×322^3 \times 3^2 instead of 2×2×2×3×32 \times 2 \times 2 \times 3 \times 3
- 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

  1. Is 5151 prime or composite? Explain how you checked.
  2. List all factor pairs of 4848.
  3. Use divisibility rules: is 4,5364,536 divisible by (a) 3? (b) 4? (c) 9?

Level 2 — Build Confidence

  1. Write the prime factorisation of 180180 using index notation.
  2. Find the HCF of 6060 and 8484 using prime factorisation.
  3. Find the LCM of 1515 and 2020.

Level 3 — Push Yourself

  1. Find the HCF and LCM of 3636, 4848, and 6060.
  2. Two lighthouses flash at intervals of 1212 seconds and 1818 seconds. If they flash together at time 00, after how many seconds will they next flash together?
  3. The HCF of two numbers is 88 and their LCM is 240240. One number is 4848. Find the other. Use the relationship: HCF ×\times 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 9797, check primes up to 979.8\sqrt{97} \approx 9.8. So test 2,3,5,72, 3, 5, 7. None divide 9797, so it is prime.

2. Use index notation to keep things tidy. Write 23×3×522^3 \times 3 \times 5^2 rather than 2×2×2×3×5×52 \times 2 \times 2 \times 3 \times 5 \times 5. 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.

Download Your Free Worksheet

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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Download Free Worksheet PDF

45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!