131 LearnersLast updated on May 26th, 2025
Factors of 1773
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 1773, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1773?
The numbers that divide 1773 evenly are known as factors of 1773.
A factor of 1773 is a number that divides the number without a remainder.
The factors of 1773 are 1, 3, 11, 33, 53, 159, 531, and 1773.
Negative factors of 1773: -1, -3, -11, -33, -53, -159, -531, and -1773.
Prime factors of 1773: 3, 11, and 53.
Prime factorization of 1773: 3 × 11 × 53.
The sum of factors of 1773: 1 + 3 + 11 + 33 + 53 + 159 + 531 + 1773 = 2564
How to Find Factors of 1773?
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 1773. Identifying the numbers which are multiplied to get the number 1773 is the multiplication method.
Step 1: Multiply 1773 by 1, 1773 × 1 = 1773.
Step 2: Check for other numbers that give 1773 after multiplying
3 × 591 = 1773
11 × 161 = 1773
33 × 53 = 1773
Therefore, the positive factor pairs of 1773 are: (1, 1773), (3, 591), (11, 161), (33, 53).
All these factor pairs result in 1773.
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 that result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1773 by 1, 1773 ÷ 1 = 1773.
Step 2: Continue dividing 1773 by the numbers until the remainder becomes 0.
1773 ÷ 1 = 1773
1773 ÷ 3 = 591
1773 ÷ 11 = 161
1773 ÷ 33 = 53
Therefore, the factors of 1773 are: 1, 3, 11, 33, 53, 159, 531, 1773.
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 1773 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1773 ÷ 3 = 591
591 ÷ 11 = 53
53 ÷ 53 = 1
The prime factors of 1773 are 3, 11, and 53.
The prime factorization of 1773 is: 3 × 11 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1773 is divided by 3 to get 591.
Step 2: Now divide 591 by 11 to get 53.
Step 3: Finally, divide 53 by 53 to get 1. So, the prime factorization of 1773 is: 3 × 11 × 53.
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 1773: (1, 1773), (3, 591), (11, 161), (33, 53).
Negative factor pairs of 1773: (-1, -1773), (-3, -591), (-11, -161), (-33, -53).
Common Mistakes and How to Avoid Them in Factors of 1773
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 1773, 1 and 1773 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1773 consist of -1, -3, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1773/1.5 = 1182, and 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 1773 are prime numbers.
For example, 3, 11, and 53 are the prime factors of 1773, but it has other factors like 33, 591.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1773 as 3 × 11 × 53 and missing all the key factors.
Factors of 1773 Examples
Problem 1
A bus travels 1773 miles, and it needs to make stops every 3 miles. How many stops will the bus make?
The bus will make 591 stops.
Explanation
To find the number of stops, divide the total miles by the distance between stops.
1773/3 = 591
Problem 2
A rectangular garden has a length of 1773 meters and a width of 1 meter. What is the area of the garden?
1773 square meters.
Explanation
To find the area of the garden, we use the formula,
Area = length × width
1773 = 1773 × 1
Problem 3
A teacher has 1773 pencils and divides them equally among 11 students. How many pencils will each student get?
Each student will get 161 pencils.
Explanation
To find the pencils each student gets, divide the total number of pencils by the number of students.
1773/11 = 161
Problem 4
A company produces 1773 units of a product in 33 days. How many units do they produce per day?
The company produces 53 units per day.
Explanation
To find the production rate per day, divide the total units by the number of days.
1773/33 = 53
Problem 5
A library has 1773 books and wants to arrange them on 53 shelves. How many books will go on each shelf?
Each shelf will have 33 books.
Explanation
Divide the total books by the number of shelves.
1773/53 = 33
FAQs on Factors of 1773
1.What are the factors of 1773?
2.Mention the prime factors of 1773.
3.Is 1773 a multiple of 3?
4.Mention the factor pairs of 1773?
5.What is the square of 53?
6.How can children in United States use numbers in everyday life to understand Factors of 1773?
7.What are some fun ways kids in United States can practice Factors of 1773 with numbers?
8.What role do numbers and Factors of 1773 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 1773 skills?
Important Glossaries for Factor of 1773
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1773 are 1, 3, 11, 33, 53, 159, 531, and 1773.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 53 are prime factors of 1773.
- 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 1773 are (1, 1773), (3, 591), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1773 is 3 × 11 × 53.
- Negative factors: The negative counterparts of a number's factors. For example, the negative factors of 1773 are -1, -3, -11, -33, -53, -159, -531, and -1773.
Explore More numbers
About BrightChamps in United States
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.
