260 LearnersLast updated on May 26th, 2025
Factors of 144
Do you know what factors are? The factors are the pair of numbers that divide the given number without any remainder. Hence, we can say that the factors of 144 divide 144 without any remainder. In real life, factors are helpful in scenarios like packing boxes and arranging seats.
What are the Factors of 144
The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144
Negative Factors: These are the negative counterparts of each positive factor.
Negative factors: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -36, -48, -72, -144
Prime Factors: Prime factors are the prime numbers themselves.
Prime factors: 2, 3
Prime Factorization: Prime factorization expresses the product of prime factors in its exponential form.
It is expressed as 24 × 32
Table listing the factors of 144
How to Find the Factors of 144?
It is easy to find the factors of a number. We can identify the factors of 144 with the help of the methods mentioned below:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication
The multiplication method finds the pair of numbers that when multiplied gives 144 as their product.
Step 1: Find all the numbers whose product is 144.
Step 2: These numbers are the factors of 144
Step 3:Group these numbers as pairs.
Here’s a list of paired numbers whose product is 144:
1 × 144 =144
2 × 72 = 144
3 × 48 = 144
4 × 36 = 144
6 × 24 = 144
8 × 18 = 144
9 × 16 = 144
12 × 12 = 144
Finding Factors by Division Method
For the division method, the process of division will go on until the remainder becomes zero.
Step 1: 1 will always be a factor of any number because we can divide any number by 1. Example: 144÷1 = 144.
Step 2: Move to the next integer and continue this process until you can’t divide 144 anymore.
Overview of Factors of 144 using the division method
Prime Factors and Prime Factorization
Prime factors are the prime numbers, having 1 and the numbers themselves as factors. Prime factorization is breaking down the number into its prime factors and expressing their product in exponential form.
Prime factors of 144: 2, 3
To find the prime factors of 144
Step 1: Divide 144 with the prime number 2
144÷2 = 72
72÷2 = 36
36÷2= 18
18÷2=9
Step 2: Divide 9 with the prime number 3
9÷3 = 3
3÷3 = 1
Prime Factorization of 144
For the prime factorization method, the product of prime factors of 144 is expressed as 24 × 32
Factor Tree
The prime factorization is visually represented using the factor tree. In this factor tree, each branch splits into prime factors.
Factor Tree for 144:
Factors of 144 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.
Positive Factor Pairs: (1,144), (2,72), (3,48), (4, 36), (6,24), (8, 18), (9,16), (12,12)
Negative Factor Pairs: (-1,-144), (-2,-72), (-3,-48), (-4, -36), (-6, -24), (-8, -18), (-9, -16), (-12, -12)
Common Mistakes and How to Avoid Them in Factors of 144
While learning the factors of 144, it is possible to commit mistakes. You can avoid making these mistakes by being more careful in the area mentioned below.
Mistake 1
Forgetting to write (12,12) as a pair factor of 144
Always remember that 144 is a perfect square of 12. To get the perfect square, 144 has to be multiplied twice (12×12). So, (12,12) will also be a factor pair of 144.
Factors of 144 Examples
Problem 1
Can you check whether the factors of 12 are seen in factors of 144?
The factors of 12 from the factors of 144 are 1, 2, 3, 4, 6 and 12.
Explanation
From the factors of 144, identify the factors of 12 that divide 12 completely.
Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Factors of 12: 1, 2, 3, 4, 6, 12
Problem 2
Find the sum of all two-digit factors of 144
The sum of all two-digit factors of 144 is 226
Explanation
From the factor list of 144, identify the two-digit factors and add them to get the sum 226.
Two-digit factors of 144 are 12, 16, 18, 24, 36, 48 and 72
Sum = 12+16+18+24+36+48+72 = 226
Problem 3
Can you check whether the factors of 12 are seen in factors of 144?
The factors of 12 from the factors of 144 are 1, 2, 3, 4, 6 and 12.
Explanation
From the factors of 144, identify the factors of 12 that divide 12 completely.
Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Factors of 12: 1, 2, 3, 4, 6, 12
FAQs on Factors of 144
1.Total number of factor pairs for 144?
2.What number is 144 divisible by?
3.Is 144 even?
4.Can 144 be a perfect square?
5.Check whether 144 is a cube number.
6.How can children in Qatar use numbers in everyday life to understand Factors of 144?
7.What are some fun ways kids in Qatar can practice Factors of 144 with numbers?
8.What role do numbers and Factors of 144 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 144 skills?
Important Glossaries for Factors of 144
- Divisor: Number that divides another number
- Quotient: The number you get when you divide a number with another.
- Multiple: A number and any integer multiplied.
- Prime Factor: A prime number having 1 and the number itself as its factor
- Prime Factorization: Process of breaking down the prime factors.
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About BrightChamps in Qatar
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.
