101 LearnersLast updated on May 26th, 2025
Factors of 1464
Factors are the numbers that divide any given number evenly without a 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 1464, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1464?
The numbers that divide 1464 evenly are known as factors of 1464.
A factor of 1464 is a number that divides the number without remainder.
Negative factors of 1464: -1, -2, -3, -4, -6, -8, -12, -24, -61, -122, -183, -244, -366, -488, -732, and -1464.
Prime factors of 1464: 2, 3, and 61.
Prime factorization of 1464: 2³ × 3 × 61.
The sum of factors of 1464: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 61 + 122 + 183 + 244 + 366 + 488 + 732 + 1464 = 3720
How to Find Factors of 1464?
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 1464. Identifying the numbers which are multiplied to get the number 1464 is the multiplication method.
Step 1: Multiply 1464 by 1, 1464 × 1 = 1464.
Step 2: Check for other numbers that give 1464 after multiplying
2 × 732 = 1464
3 × 488 = 1464
4 × 366 = 1464
6 × 244 = 1464
8 × 183 = 1464
12 × 122 = 1464
24 × 61 = 1464
Therefore, the positive factor pairs of 1464 are: (1, 1464), (2, 732), (3, 488), (4, 366), (6, 244), (8, 183), (12, 122), (24, 61).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 a simple division method -
Step 1: Divide 1464 by 1, 1464 ÷ 1 = 1464.
Step 2: Continue dividing 1464 by the numbers until the remainder becomes 0.
1464 ÷ 1 = 1464
1464 ÷ 2 = 732
1464 ÷ 3 = 488
1464 ÷ 4 = 366
1464 ÷ 6 = 244
1464 ÷ 8 = 183
1464 ÷ 12 = 122
1464 ÷ 24 = 61
Therefore, the factors of 1464 are: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1464 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1464 ÷ 2 = 732
732 ÷ 2 = 366
366 ÷ 2 = 183
183 ÷ 3 = 61
61 ÷ 61 = 1
The prime factors of 1464 are 2, 3, and 61.
The prime factorization of 1464 is: 2³ × 3 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1464 is divided by 2 to get 732.
Step 2: Now divide 732 by 2 to get 366.
Step 3: Then divide 366 by 2 to get 183.
Step 4: Divide 183 by 3 to get 61.
Here, 61 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1464 is: 2³ × 3 × 61.
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 1464: (1, 1464), (2, 732), (3, 488), (4, 366), (6, 244), (8, 183), (12, 122), (24, 61).
Negative factor pairs of 1464: (-1, -1464), (-2, -732), (-3, -488), (-4, -366), (-6, -244), (-8, -183), (-12, -122), (-24, -61).
Common Mistakes and How to Avoid Them in Factors of 1464
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1464, 1 and 1464 are also factors.
Factors of 1464 Examples
Problem 1
There are 12 teams and 1464 players. How will they divide the players equally?
They will get 122 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of teams.
1464/12 = 122
Problem 2
A rectangular field has a length of 61 meters and a total area of 1464 square meters. Find the width.
24 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1464 = 61 × width
To find the value of width, we need to shift 61 to the left side.
1464/61 = width
Width = 24.
Problem 3
There are 6 boxes and 1464 candies. How many candies will be in each box?
Each box will have 244 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
1464/6 = 244
Problem 4
In a conference room, there are 1464 chairs, and 8 sections. How many chairs are there in each section?
There are 183 chairs in each section.
Explanation
Dividing the chairs with the total sections, we will get the number of chairs in each section.
1464/8 = 183
Problem 5
1464 books need to be arranged in 24 shelves. How many books will go on each shelf?
Each of the shelves has 61 books.
Explanation
Divide total books with shelves.
1464/24 = 61
FAQs on Factors of 1464
1.What are the factors of 1464?
2.Mention the prime factors of 1464.
3.Is 1464 a multiple of 3?
4.Mention the factor pairs of 1464?
5.What is the square of 1464?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1464?
7.What are some fun ways kids in Vietnam can practice Factors of 1464 with numbers?
8.What role do numbers and Factors of 1464 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1464 skills?
Important Glossaries for Factor of 1464
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, and 1464.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 61 are prime factors of 1464.
- 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 1464 are (1, 1464), (2, 732), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, 1464 = 2³ × 3 × 61.
- Negative factors: These are negative numbers that divide the original number without leaving a remainder. For example, -1, -2, -3, etc., are negative factors of 1464.
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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.
