101 LearnersLast updated on May 26th, 2025
Factors of 1473
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 1473, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1473?
The numbers that divide 1473 evenly are known as factors of 1473.
A factor of 1473 is a number that divides the number without remainder.
The factors of 1473 are 1, 3, 491, and 1473.
Negative factors of 1473: -1, -3, -491, and -1473.
Prime factors of 1473: 3 and 491.
Prime factorization of 1473: 3 × 491.
The sum of factors of 1473: 1 + 3 + 491 + 1473 = 1968
How to Find Factors of 1473?
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 1473. Identifying the numbers which are multiplied to get the number 1473 is the multiplication method.
Step 1: Multiply 1473 by 1, 1473 × 1 = 1473.
Step 2: Check for other numbers that give 1473 after multiplying
3 × 491 = 1473
Therefore, the positive factor pairs of 1473 are: (1, 1473), (3, 491).
All these factor pairs result in 1473.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1473 by 1, 1473 ÷ 1 = 1473.
Step 2: Continue dividing 1473 by the numbers until the remainder becomes 0.
1473 ÷ 1 = 1473
1473 ÷ 3 = 491
Therefore, the factors of 1473 are: 1, 3, 491, 1473.
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 1473 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1473 ÷ 3 = 491
491 ÷ 491 = 1
The prime factors of 1473 are 3 and 491.
The prime factorization of 1473 is: 3 × 491.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1473 is divided by 3 to get 491.
Step 2: Now divide 491 by 491 to get 1.
491 is a prime number and cannot be divided further.
So, the prime factorization of 1473 is: 3 × 491.
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 1473: (1, 1473), (3, 491).
Negative factor pairs of 1473: (-1, -1473), (-3, -491).
Common Mistakes and How to Avoid Them in Factors of 1473
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 1473, 1 and 1473 are also factors.
Factors of 1473 Examples
Problem 1
There are 3 groups and 1473 apples. How will they divide it equally?
They will get 491 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of groups.
1473/3 = 491
Problem 2
A rectangular plot has a length of 3 meters, and its total area is 1473 square meters. Find the width?
491 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1473 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1473/3 = width
Width = 491.
Problem 3
There are 491 bags and 1473 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.
1473/491 = 3
Problem 4
In a class, there are 1473 students, and 3 groups. How many students are there in each group?
There are 491 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1473/3 = 491
Problem 5
1473 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 491 books.
Explanation
Divide total books by shelves.
1473/3 = 491
FAQs on Factors of 1473
1.What are the factors of 1473?
2.Mention the prime factors of 1473.
3.Is 1473 a multiple of 3?
4.Mention the factor pairs of 1473?
5.What is the square of 1473?
Important Glossaries for Factor of 1473
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1473 are 1, 3, 491, and 1473.
- Prime factors: The factors which are prime numbers. For example, 3 and 491 are prime factors of 1473.
- 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 1473 are (1, 1473) and (3, 491).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1473 is 3 × 491.
- Negative factors: Negative numbers that divide a given number without leaving a remainder. For example, the negative factors of 1473 are -1, -3, -491, and -1473.
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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.
