BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon170 Learners

Last updated on December 30th, 2024

Math Whiteboard Illustration

Factors of 3

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Factors are the numbers that divide a given number evenly without leaving any remainder. In real life, we use factors for equal distribution of items in a group or for comparisons and so on. Let's learn more about factors of 3.

Professor Greenline from BrightChamps

What are the Factors of 3?

The factors of 3 are numbers that divide 3 exactly without any remainder. The numbers 1 and 3 are the factors of 3.


Negative Factors of 3: Negative factors are the opposite of positive factors. For 3, they are -1 and -3.


Prime Factors of 3:The prime factor of 3 is 3, as it is the only prime number that divides it evenly without any remainder.


Prime Factorization of 3 :Prime factorization is the breakdown of a number into its prime factors. For 3, the only prime factor is 3.
 

Professor Greenline from BrightChamps

How to Find the Factors of 3

We can find the factors of 3 by dividing it evenly without a remainder. Below are the methods by which we can find the factors.
 

Professor Greenline from BrightChamps

Finding Factors Using Multiplication

In this method, we identify pairs of numbers whose product equals the original number. Follow the steps mentioned below to find the factors.


Step 1: Identify a pair of numbers whose product equals 3.


Step 2: List such pairs of numbers one by one. 


Here, the factor pair of 3 is (1, 3).
 

Professor Greenline from BrightChamps

Finding Factors by Division Method

In the division method, we find numbers that divide the given number evenly without leaving any remainder.


3 / 1 = 3
3 / 3 = 1


To find the factors of 3 using the division method, divide 3 by each number from 1 to 3 to check for divisors. The numbers 1 and 3 are the factors of 3.
 

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

In the method of prime factorization, a number is broken down as a product of its prime factors. For example, 3 is expressed as 3 × 1. Hence, 3 is called the prime factor of 3.
 

Factor Tree: A factor tree is a diagrammatic representation that breaks down the prime factors of a given number.


Factor Pairs: The factor pairs of a number refer to the pairs of numbers which, when multiplied, will give the original number as a product.


Positive factor pairs of 3 are (1, 3)
Negative pair factors of 3 are  (-1, -3)
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 3

Max from BrightChamps Saying "Hey"

Factors of 3 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Square the factors of 3 and find the sum.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Check whether 3 is a factor of 54.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Can you check for the prime numbers between 1–12

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 3

1.What is the greatest factor of 3

Math FAQ Answers Dropdown Arrow

2.Is 15 a multiple of 3?

Math FAQ Answers Dropdown Arrow

3.Is 9 a prime number?

Math FAQ Answers Dropdown Arrow

4.Does 24 have any number as its perfect square factor?

Math FAQ Answers Dropdown Arrow

5.What is the difference between a prime and a composite number

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 3

  • Prime Numbers: The numbers that have only 2 factors 1 & the number itself are called Prime Numbers. For example: If we take the number 3, we will get the prime factorization of 1 × 3, therefore it is a prime number.

 

  • Composite Numbers: composite numbers are the numbers that have more than 2 factors. For example: The composite number of 10 is 1, 2, 5, and 10

 

  • Negative Factors: These numbers are the negative counterparts of the positive factors of a number. For example: the negative factor of 10 is -1, -2, -5, -10.

 

  • Factor Tree: A factor tree is a graphical representation of breaking down of composite number into prime factors.

 

  • Multiple: In mathematics, a multiple means a number that can be divisible by another number without leaving any remainder. For example: 4 × 1 = 4


 

Math Teacher Background Image
Math Teacher Image

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom