100 LearnersLast updated on May 26th, 2025
Factors of 1460
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 1460, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1460?
The numbers that divide 1460 evenly are known as factors of 1460.
A factor of 1460 is a number that divides the number without a remainder.
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, and 1460.
Negative factors of 1460: -1, -2, -4, -5, -10, -20, -73, -146, -292, -365, -730, and -1460.
Prime factors of 1460: 2, 5, and 73.
Prime factorization of 1460: 2^2 × 5 × 73.
The sum of factors of 1460: 1 + 2 + 4 + 5 + 10 + 20 + 73 + 146 + 292 + 365 + 730 + 1460 = 3108
How to Find Factors of 1460?
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 1460. Identifying the numbers that are multiplied to get the number 1460 is the multiplication method.
Step 1: Multiply 1460 by 1, 1460 × 1 = 1460.
Step 2: Check for other numbers that give 1460 after multiplying
2 × 730 = 1460
4 × 365 = 1460
5 × 292 = 1460
10 × 146 = 1460
20 × 73 = 1460
Therefore, the positive factor pairs of 1460 are: (1, 1460), (2, 730), (4, 365), (5, 292), (10, 146), (20, 73).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1460 by 1, 1460 ÷ 1 = 1460.
Step 2: Continue dividing 1460 by the numbers until the remainder becomes 0.
1460 ÷ 1 = 1460
1460 ÷ 2 = 730
1460 ÷ 4 = 365
1460 ÷ 5 = 292
1460 ÷ 10 = 146
1460 ÷ 20 = 73
Therefore, the factors of 1460 are: 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460.
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 1460 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1460 ÷ 2 = 730
730 ÷ 2 = 365
365 ÷ 5 = 73
73 ÷ 73 = 1
The prime factors of 1460 are 2, 5, and 73.
The prime factorization of 1460 is: 2^2 × 5 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1460 is divided by 2 to get 730.
Step 2: Now divide 730 by 2 to get 365.
Step 3: Then divide 365 by 5 to get 73.
Step 4: Divide 73 by 73 to get 1.
So, the prime factorization of 1460 is: 2^2 × 5 × 73.
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 1460: (1, 1460), (2, 730), (4, 365), (5, 292), (10, 146), and (20, 73).
Negative factor pairs of 1460: (-1, -1460), (-2, -730), (-4, -365), (-5, -292), (-10, -146), and (-20, -73).
Common Mistakes and How to Avoid Them in Factors of 1460
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 1460, 1 and 1460 are also factors.
Factors of 1460 Examples
Problem 1
There are 10 teams and 1460 participants. How will they divide equally?
They will get 146 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1460/10 = 146
Problem 2
A garden is rectangular, the length of the garden is 20 meters and the total area is 1460 square meters. Find the width?
73 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1460 = 20 × width
To find the value of width, we need to shift 20 to the left side.
1460/20 = width
Width = 73.
Problem 3
There are 365 books and 1460 pages. How many pages are in each book?
Each book will have 4 pages.
Explanation
To find the pages in each book, divide the total pages by the number of books.
1460/365 = 4
Problem 4
In a stadium, there are 1460 seats, and 5 sections. How many seats are there in each section?
There are 292 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1460/5 = 292
Problem 5
1460 candies need to be arranged in 2 boxes. How many candies will go in each box?
Each of the boxes has 730 candies.
Explanation
Divide total candies by boxes.
1460/2 = 730
FAQs on Factors of 1460
1.What are the factors of 1460?
2.Mention the prime factors of 1460.
3.Is 1460 a multiple of 5?
4.Mention the factor pairs of 1460?
5.What is the square of 1460?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1460?
7.What are some fun ways kids in Vietnam can practice Factors of 1460 with numbers?
8.What role do numbers and Factors of 1460 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1460 skills?
Important Glossaries for Factors of 1460
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, and 1460.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 73 are prime factors of 1460.
- 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 1460 are (1, 1460), (2, 730), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1460 is 2^2 × 5 × 73.
- Negative factors: The negative numbers that divide the given number without leaving a remainder. For example, -1, -2, -4, -5, -10, -20, -73, -146, -292, -365, -730, and -1460 are the negative factors of 1460.
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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.
