Composite Numbers
Grade 6 Math Worksheets
Composite Numbers
Composite numbers are positive integers greater than 1 that have more than two distinct positive divisors or factors. In other words, a composite number can be evenly divided by positive integers other than 1 and itself. The number 1 is not considered a composite number because it only has one positive divisor (1 itself).
Key points about composite numbers include:
Definition
A composite number is any positive integer greater than 1 that is not a prime number.
Examples
4 is a composite number because it can be divided evenly by 1, 2, and 4.
6 is a composite number because it has divisors 1, 2, 3, and 6.
15 is a composite number with divisors 1, 3, 5, and 15.
Personalized Online Tutoring
Composite Numbers - Grade 6 Math Worksheet PDF
This is a free printable / downloadable PDF worksheet with practice problems and answers. You can also work on it online.
Sign up with your email ID to access this free worksheet.
"We really love eTutorWorld!"
"We really love etutorworld!. Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)
"My daughter gets distracted easily"
"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.
With the help of Etutorworld, my daughter has been now selected in the Gifted and Talented Program for the school district"
- Nivea Sharma (via TrustSpot.io)
How to Find Composite Numbers?
Here are steps you can follow to find composite numbers:
Choose a Range
Decide on the range of numbers you want to examine for compositeness. For example, you might choose a range like 1 to 100.
Examine Individual Numbers
For each number in the chosen range (starting from 4, as 2 and 3 are prime), check whether it has divisors other than 1 and itself.
Check Divisibility
Test divisibility by checking if the number can be evenly divided by integers other than 1 and itself. Use the numbers 2 and above as potential divisors.
Look for Factors
If you find at least one divisor other than 1 and the number itself, then the number is composite. Note down the factors you find.
Continue the Process
Continue examining numbers in the chosen range until you have identified all the composite numbers within that range.
Here’s an example to illustrate the process:
Let’s find the composite numbers in the range 1 to 20:
- Number 4: Divisible by 2 (2 * 2), so it’s composite.
- Number 6: Divisible by 2 (2 * 3), so it’s composite.
- Number 8: Divisible by 2 (2 * 2 * 2), so it’s composite.
- Number 9: Divisible by 3 (3 * 3), so it’s composite.
- Number 10: Divisible by 2 (2 * 5), so it’s composite.
- Number 12: Divisible by 2 and 3 (2 * 2 * 3), so it’s composite.
- Number 14: Divisible by 2 (2 * 7), so it’s composite.
- Number 15: Divisible by 3 and 5 (3 * 5), so it’s composite.
- Number 16: Divisible by 2 (2 * 2 * 2 * 2), so it’s composite.
- Number 18: Divisible by 2 and 3 (2 * 3 * 3), so it’s composite.
- Number 20: Divisible by 2 (2 * 2 * 5), so it’s composite.
So, in the range 1 to 20, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, and 20.
“There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.
Our kid is doing much better with a higher score.”
6th Grade Tutoring
eTutorWorld offers Personalized Online Tutoring for Math, Science, English, and Standardised Tests.
Our Tutoring Packs start at just under $22.49 per hour, and come with a moneyback guarantee.
Schedule a FREE Trial Session, and experience quality tutoring for yourself. (No credit card required.)
Properties of Composite Numbers
Composite numbers possess more than two positive divisors, including 1, the number itself, and at least one additional factor.
Composite numbers can be divided by their factors without leaving a remainder, resulting in whole-number quotients.
Every positive integer, whether prime or composite, is a factor of itself.
4 stands as the smallest composite number, divisible by 1, 2, and 4.
The prime factorization of a composite number involves expressing it as a product of prime numbers, ensuring that each factor is a prime number.
Composite numbers exhibit divisibility by various factors, including other composite numbers. For instance, 12 is a composite number divisible by 2, 3, 4, 6, and itself.
Odd and Even Composite Numbers
Composite numbers can be categorized into odd and even based on their parity (whether they are divisible by 2). Here’s a breakdown of odd and even composite numbers:
Odd Composite Numbers
Odd composite numbers are composite numbers that are not divisible by 2. They have factors other than 1, the number itself, and 2. Examples of odd composite numbers include 9, 15, 21, 25, and so on.
Even Composite Numbers
Even composite numbers are composite numbers that are divisible by 2. They have at least three positive divisors: 1, the number itself, and 2. Examples of even composite numbers include 4, 6, 8, 10, 14, and so on.
It’s important to note that the only even prime number is 2. All other even numbers greater than 2 are composite because they are divisible by 2.
Examples of odd and even composite numbers
Odd Composite Numbers
9=3×3
15=3×5
21=3×7
25=5×5
Even Composite Numbers
4=2×2
6=2×3
8=2×2×2
10=2×5
14=2×7
Do You Stack Up Against the Best?
If you have 30 minutes, try our free diagnostics test and assess your skills.
Composite Numbers FAQS
What is a composite number?
A composite number is a positive integer greater than 1 that has more than two distinct positive divisors. In other words, it is divisible by numbers other than 1 and itself.
Can a composite number be prime?
No, by definition, a composite number cannot be prime. A prime number has only two distinct positive divisors (1 and itself), while a composite number has more than two.
What is the smallest composite number?
The smallest composite number is 4. It is the first positive integer greater than 1 that is not a prime number.
Can composite numbers be odd or even?
Composite numbers can be either odd or even. They are divisible by more than two distinct positive divisors, and this divisibility can involve both odd and even numbers.
Are there infinitely many composite numbers?
Yes, there are infinitely many composite numbers. The set of composite numbers is extensive and continues indefinitely.
Do all even numbers qualify as composite numbers?
No, not all even numbers are composite. The only even prime number is 2. Other even numbers, if greater than 2, can be either prime or composite.
Can composite numbers have prime factors?
Yes, composite numbers have prime factors. The prime factorization of a composite number is a unique expression of the number as a product of prime numbers.
Can a composite number be a perfect square?
Yes, composite numbers can be perfect squares. For example, 4, 9, 16, and 25 are composite perfect squares.
Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn
Affordable Tutoring Now Starts at Just $22.49
eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).
What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.
Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a FREE TRIAL Session with us today.
*There is no purchase obligation or credit card requirement
Grade 6 Science Worksheets
- Inquiry process
- Nature of Science
- Scientific Inquiry
- Inquiry, Analysis and Problem Solving
- Ethical Practices
- Science and Society
- Biotic and Abiotic Factors
- Impact of Organisms
- Adaptation
- Spheres of Earth
- Natural Resources
- Environmental Issues
- Conservation of Earth
- Understanding Technology
- Abilities To Do Technological Design
- Structure of Earth
- Solar System
- Rocks and Fossils
- Earth Systems
- Plate Tectonics
- Evolution
- Magnetic Field of Earth
- Geologic Time
- Materials and Processes That Shape a Planet
- Astronomy
- Ecology
- Energy
- Kinetic and Potential Energy
- Energy Transfer
- Matter and its Structure
- States of Matter
- Physical and Chemical Changes
- Force and Motion
- Electricity and Magnetism
- Wave Interactions
- Sound
- Light
- Introduction to Life Science
- The Origin & History of Life On Earth
- Plant and Animal Cells
- Parts of a Cell
- The Cell Cycle
- How Living Organisms Get Energy
- Classification of Organisms
- How Plants Grow & Reproduce
- The Human Respiratory System
- The Human Cardiovascular System
- The Human Digestive System
- The Human Endocrine Systems
- The Human Nervous System
- The Human Muscular System
- The Human Skeletal System
IN THE NEWS
Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.
Online test prep and practice
SCAT
SSAT
ISEE
PSAT
SAT
ACT
AP Exam
Science Tutoring
Physics Tutoring
Chemistry Tutoring
Biology Tutoring
Math Tutoring
Pre-Algebra Tutoring
Algebra Tutoring
Pre Calculus Tutoring
Calculus Tutoring
Geometry Tutoring
Trigonometry Tutoring
Statistics Tutoring
Quick links
Free Worksheets
Fact sheet
Sales Partner Opportunities
Parents
Passive Fundraising
Virtual Fundraising
Our Expert Tutors
Safe and Secure Tutoring
Interactive Online Tutoring
After School Tutoring
Elementary School Tutoring
Middle School Tutoring
High School Tutoring
Home Work Help
Math Tutors New York City
Press
©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird
©2022 eTutorWorld
Terms of use
Privacy Policy
Site by Little Red Bird