101 LearnersLast updated on May 26th, 2025
Factors of 1497
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 1497, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1497?
The numbers that divide 1497 evenly are known as factors of 1497.
A factor of 1497 is a number that divides the number without remainder.
The factors of 1497 are 1, 3, 499, and 1497.
Negative factors of 1497: -1, -3, -499, and -1497.
Prime factors of 1497: 3 and 499.
Prime factorization of 1497: 3 × 499.
The sum of factors of 1497: 1 + 3 + 499 + 1497 = 2000
How to Find Factors of 1497?
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 1497. Identifying the numbers which are multiplied to get the number 1497 is the multiplication method.
Step 1: Multiply 1497 by 1, 1497 × 1 = 1497.
Step 2: Check for other numbers that give 1497 after multiplying
3 × 499 = 1497
Therefore, the positive factor pairs of 1497 are: (1, 1497), (3, 499).
All these factor pairs result in 1497.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1497 by 1, 1497 ÷ 1 = 1497.
Step 2: Continue dividing 1497 by the numbers until the remainder becomes 0.
1497 ÷ 1 = 1497
1497 ÷ 3 = 499
Therefore, the factors of 1497 are: 1, 3, 499, 1497.
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 1497 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1497 ÷ 3 = 499
499 is a prime number.
The prime factors of 1497 are 3 and 499.
The prime factorization of 1497 is: 3 × 499.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1497 is divided by 3 to get 499. Here, 499 is a prime number and cannot be divided further. So, the prime factorization of 1497 is: 3 × 499.
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 1497: (1, 1497), (3, 499).
Negative factor pairs of 1497: (-1, -1497), (-3, -499).
Common Mistakes and How to Avoid Them in Factors of 1497
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1497, 1 and 1497 are also factors.
Factors of 1497 Examples
Problem 1
There are 3 friends and 1497 marbles. How will they divide them equally?
They will get 499 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1497/3 = 499
Problem 2
A rectangular hall has a length of 3 meters and a total area of 1497 square meters. Find the width.
499 meters.
Explanation
To find the width of the hall, we use the formula, Area = length × width
1497 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1497/3 = width
Width = 499.
Problem 3
There are 499 baskets and 1497 apples. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1497/499 = 3
Problem 4
In a class, there are 1497 students, and 3 groups. How many students are there in each group?
There are 499 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1497/3 = 499
Problem 5
1497 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 499 books.
Explanation
Divide total books by shelves.
1497/3 = 499
FAQs on Factors of 1497
1.What are the factors of 1497?
2.Mention the prime factors of 1497.
3.Is 1497 a multiple of 3?
4.Mention the factor pairs of 1497?
5.What is the square of 1497?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1497?
7.What are some fun ways kids in Qatar can practice Factors of 1497 with numbers?
8.What role do numbers and Factors of 1497 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1497 skills?
Important Glossaries for Factors of 1497
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1497 are 1, 3, 499, and 1497.
- Prime factors: The factors which are prime numbers. For example, 3 and 499 are prime factors of 1497.
- 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 1497 are (1, 1497) and (3, 499).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1497 is 3 × 499.
- Multiple: A number that is the product of a given number and an integer. For example, 1497 is a multiple of 3.
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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.
