100 LearnersLast updated on May 26th, 2025
Factors of 1458
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1458, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1458?
The numbers that divide 1458 evenly are known as factors of 1458.
A factor of 1458 is a number that divides the number without remainder.
The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, and 1458.
Negative factors of 1458: -1, -2, -3, -6, -9, -18, -27, -54, -81, -162, -243, -486, -729, and -1458.
Prime factors of 1458: 2 and 3.
Prime factorization of 1458: 2 × 3^6.
The sum of factors of 1458: 1 + 2 + 3 + 6 + 9 + 18 + 27 + 54 + 81 + 162 + 243 + 486 + 729 + 1458 = 3279
How to Find Factors of 1458?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1458. Identifying the numbers which are multiplied to get the number 1458 is the multiplication method.
Step 1: Multiply 1458 by 1, 1458 × 1 = 1458.
Step 2: Check for other numbers that give 1458 after multiplying
2 × 729 = 1458
3 × 486 = 1458
6 × 243 = 1458
9 × 162 = 1458
18 × 81 = 1458
27 × 54 = 1458
Therefore, the positive factor pairs of 1458 are: (1, 1458), (2, 729), (3, 486), (6, 243), (9, 162), (18, 81), and (27, 54).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1458 by 1, 1458 ÷ 1 = 1458.
Step 2: Continue dividing 1458 by the numbers until the remainder becomes 0.
1458 ÷ 1 = 1458
1458 ÷ 2 = 729
1458 ÷ 3 = 486
1458 ÷ 6 = 243
1458 ÷ 9 = 162
1458 ÷ 18 = 81
1458 ÷ 27 = 54
Therefore, the factors of 1458 are: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1458 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1458 ÷ 2 = 729
729 ÷ 3 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 1458 are 2 and 3.
The prime factorization of 1458 is: 2 × 3^6.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1458 is divided by 2 to get 729.
Step 2: Now divide 729 by 3 to get 243.
Step 3: Then divide 243 by 3 to get 81.
Step 4: Divide 81 by 3 to get 27.
Step 5: Divide 27 by 3 to get 9.
Step 6: Divide 9 by 3 to get 3.
Here, 3 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1458 is: 2 × 3^6.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1458: (1, 1458), (2, 729), (3, 486), (6, 243), (9, 162), (18, 81), and (27, 54).
Negative factor pairs of 1458: (-1, -1458), (-2, -729), (-3, -486), (-6, -243), (-9, -162), (-18, -81), and (-27, -54).
Common Mistakes and How to Avoid Them in Factors of 1458
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1458, 1 and 1458 are also factors.
Factors of 1458 Examples
Problem 1
There are 18 boxes and 1458 candies. How will they divide them equally?
They will get 81 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of boxes.
1458/18 = 81
Problem 2
A rectangular garden has a length of 9 meters and a total area of 1458 square meters. Find the width?
162 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1458 = 9 × width
To find the value of width, we need to shift 9 to the left side.
1458/9 = width
Width = 162.
Problem 3
There are 54 baskets and 1458 apples. How many apples will be in each basket?
Each basket will have 27 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
1458/54 = 27
Problem 4
In a school, there are 1458 students, and 27 classrooms. How many students are there in each classroom?
There are 54 students in each classroom.
Explanation
Dividing the students with the total classrooms, we will get the number of students in each classroom.
1458/27 = 54
Problem 5
1458 books need to be arranged in 81 shelves. How many books will go on each shelf?
Each of the shelves has 18 books.
Explanation
Divide total books with shelves.
1458/81 = 18
FAQs on Factors of 1458
1.What are the factors of 1458?
2.Mention the prime factors of 1458.
3.Is 1458 a multiple of 9?
4.Mention the factor pairs of 1458?
5.What is the square of 1458?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1458?
7.What are some fun ways kids in Vietnam can practice Factors of 1458 with numbers?
8.What role do numbers and Factors of 1458 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1458 skills?
Important Glossaries for Factor of 1458
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1458 are 1, 2, 3, 6, 9, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 1458.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1458 are (1, 1458), (2, 729), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1458 = 2 × 3^6.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 1458 is a multiple of 9.
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About BrightChamps in Vietnam
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.
