122 LearnersLast updated on June 9th, 2025
Factors of 1491
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 1491, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1491?
The numbers that divide 1491 evenly are known as factors of 1491.
A factor of 1491 is a number that divides the number without remainder.
The factors of 1491 are 1, 3, 497, and 1491.
Negative factors of 1491: -1, -3, -497, and -1491.
Prime factors of 1491: 3 and 497.
Prime factorization of 1491: 3 × 497.
The sum of factors of 1491: 1 + 3 + 497 + 1491 = 1992
How to Find Factors of 1491?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1491. Identifying the numbers which are multiplied to get the number 1491 is the multiplication method.
Step 1: Multiply 1491 by 1, 1491 × 1 = 1491.
Step 2: Check for other numbers that give 1491 after multiplying
3 × 497 = 1491
Therefore, the positive factor pairs of 1491 are: (1, 1491) and (3, 497). All these factor pairs result in 1491.
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 the simple division method:
Step 1: Divide 1491 by 1, 1491 ÷ 1 = 1491.
Step 2: Continue dividing 1491 by the numbers until the remainder becomes 0.
1491 ÷ 1 = 1491
1491 ÷ 3 = 497
Therefore, the factors of 1491 are: 1, 3, 497, and 1491.
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 1491 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1491 ÷ 3 = 497
497 is a prime number and cannot be divided further by any other number except 1 and itself.
The prime factors of 1491 are 3 and 497.
The prime factorization of 1491 is: 3 × 497.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1491 is divided by 3 to get 497. Here, 497 is a prime number and cannot be divided anymore. So, the prime factorization of 1491 is: 3 × 497.
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 1491: (1, 1491) and (3, 497).
Negative factor pairs of 1491: (-1, -1491) and (-3, -497).
Common Mistakes and How to Avoid Them in Factors of 1491
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 1491, 1 and 1491 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1491 include -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1491/1.5 = 994, but it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1491 are prime numbers. For example, 3 is a prime factor of 1491, but it has other factors like 497.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 1491 as 3 × 497 and missing all the key factors.
Factors of 1491 Examples
Problem 1
There are 3 teams and 1491 participants. How will they divide them equally?
They will have 497 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1491/3 = 497
Problem 2
A rectangular painting has a length of 3 meters and a total area of 1491 square meters. Find the width.
497 meters.
Explanation
To find the width of the painting, we use the formula: Area = length × width
1491 = 3 × width
To find the value of the width, we need to shift 3 to the left side.
1491/3 = width
Width = 497.
Problem 3
There are 497 bags and 1491 candies. How many candies will be in each bag?
Each bag will have 3 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1491/497 = 3
Problem 4
In a class, there are 1491 students, and 3 groups. How many students are there in each group?
There are 497 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1491/3 = 497
Problem 5
1491 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 497 books.
Explanation
Divide total books by shelves.
1491/3 = 497
FAQs on Factors of 1491
1.What are the factors of 1491?
2.Mention the prime factors of 1491.
3.Is 1491 a multiple of 3?
4.Mention the factor pairs of 1491.
5.What is the square of 1491?
6.How can children in United States use numbers in everyday life to understand Factors of 1491?
7.What are some fun ways kids in United States can practice Factors of 1491 with numbers?
8.What role do numbers and Factors of 1491 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1491 skills?
Important Glossaries for Factor of 1491
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1491 are 1, 3, 497, and 1491.
- Prime factors: The factors which are prime numbers. For example, 3 and 497 are prime factors of 1491.
- 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 1491 are (1, 1491) and (3, 497).
- Prime factorization: The expression of a number as a product of its prime factors. For example, 1491 is 3 × 497.
- Negative factors: The negative counterparts of the positive factors. For example, -1, -3, -497, and -1491 are negative factors of 1491.
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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.
