Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 teams and 1491 participants. How will they divide them equally?
They will have 497 participants each.
To divide the participants equally, we need to divide the total participants by the number of teams.
1491/3 = 497
A rectangular painting has a length of 3 meters and a total area of 1491 square meters. Find the width.
497 meters.
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.
There are 497 bags and 1491 candies. How many candies will be in each bag?
Each bag will have 3 candies.
To find the candies in each bag, divide the total candies by the bags.
1491/497 = 3
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.
Dividing the students by the total groups, we will get the number of students in each group.
1491/3 = 497
1491 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 497 books.
Divide total books by shelves.
1491/3 = 497
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.
: She loves to read number jokes and games.