237 LearnersLast updated on May 26th, 2025
Factors of 3
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.
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.
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.
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).
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.
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)
Common Mistakes and How to Avoid Them in Factors of 3
Children make mistakes while finding factors. So, they need to avoid making mistakes by being careful. And, some common mistakes made by children are given below :
Mistake 1
A child might consider only one of the numbers among the factor pair and miss out on the other number.
A child must list all the factor pairs first, i.e., (1, 3), and then write the factors individually, i.e., 1, and 3.
Factors of 3 Examples
Problem 1
Square the factors of 3 and find the sum.
The sum will be 10.
Explanation
List the factors of 3: 1 and 3
Square each factor: 12 and 32
Add them: 12 + 32 = 1 + 9 = 10
Problem 2
Check whether 3 is a factor of 54.
Yes, 3 is a factor of 54
Explanation
To check if a number is divisible by 3, we need to take the sum of the digits and see if it's a multiple of 3. Here, the sum of the digits of number 54 is 9 (5 + 4). Therefore, by dividing 54 by 3 we get 18. Hence, 3 is a factor of 54 since the remainder is zero.
Problem 3
Can you check for the prime numbers between 1–12
The numbers 2, 3, 5, 7, and 11 have two factors.
Explanation
Prime numbers have two factors, 1 and the number itself. The factors of 2, 3, 5, 7, and 11 will be (1, 2), (1, 3), (1, 5), (1, 7), and (1, 11).
FAQs on Factors of 3
1.What is the greatest factor of 3
2.Is 15 a multiple of 3?
3.Is 9 a prime number?
4.Does 24 have any number as its perfect square factor?
5.What is the difference between a prime and a composite number
6.How can children in Bahrain use numbers in everyday life to understand Factors of 3?
7.What are some fun ways kids in Bahrain can practice Factors of 3 with numbers?
8.What role do numbers and Factors of 3 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 3 skills?
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
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About BrightChamps in Bahrain
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.
Fun Fact
: She loves to read number jokes and games.
