139 LearnersLast updated on May 26th, 2025
Factors of 1771
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 1771, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1771?
The numbers that divide 1771 evenly are known as factors of 1771.
A factor of 1771 is a number that divides the number without a remainder.
The factors of 1771 are 1, 13, 37, 49, 169, and 1771.
Negative factors of 1771: -1, -13, -37, -49, -169, and -1771.
Prime factors of 1771: 13 and 37.
Prime factorization of 1771: 13 × 137.
The sum of factors of 1771: 1 + 13 + 37 + 49 + 169 + 1771 = 2040
How to Find Factors of 1771?
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 1771. Identifying the numbers which are multiplied to get the number 1771 is the multiplication method.
Step 1: Multiply 1771 by 1, 1771 × 1 = 1771.
Step 2: Check for other numbers that give 1771 after multiplying 13 × 137 = 1771
Therefore, the positive factor pairs of 1771 are: (1, 1771) and (13, 137).
All these factor pairs result in 1771.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1771 by 1, 1771 ÷ 1 = 1771.
Step 2: Continue dividing 1771 by the numbers until the remainder becomes 0.
1771 ÷ 1 = 1771
1771 ÷ 13 = 137
Therefore, the factors of 1771 are 1, 13, 137, and 1771.
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 1771 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1771 ÷ 13 = 137
137 ÷ 137 = 1
The prime factors of 1771 are 13 and 137. The prime factorization of 1771 is: 13 × 137.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1771 is divided by 13 to get 137.
Step 2: Now divide 137 by 137 to get 1. Here, 137 is a prime number that cannot be divided anymore.
So, the prime factorization of 1771 is: 13 × 137.
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 1771: (1, 1771) and (13, 137).
Negative factor pairs of 1771: (-1, -1771) and (-13, -137).
Common Mistakes and How to Avoid Them in Factors of 1771
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 1771, 1 and 1771 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1771 include -1, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1771/1.5 ≠ a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes.
For example, thinking all the factors of 1771 are prime numbers.
For example, 13 and 137 are the prime factors of 1771, but it has other factors like 1, 49.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 1771 as 13 × 137 and missing key factors.
Factors of 1771 Examples
Problem 1
A farmer has 1771 apples and wants to pack them in boxes each containing 13 apples. How many boxes will he need?
He will need 137 boxes.
Explanation
To find the number of boxes needed, divide the total apples by the number of apples per box.
1771 ÷ 13 = 137
Problem 2
A rectangular garden has a length of 13 meters and an area of 1771 square meters. What is the width?
137 meters.
Explanation
To find the width of the garden, use the formula,
Area = length × width
1771 = 13 × width
To find the value of width, divide 1771 by 13.
1771 ÷ 13 = width
Width = 137
Problem 3
There are 49 crates, each holding the same number of oranges, with a total of 1771 oranges. How many oranges are in each crate?
Each crate holds 37 oranges.
Explanation
To find the number of oranges per crate, divide the total oranges by the number of crates.
1771 ÷ 49 = 37
Problem 4
A school has 1771 students and wants to form groups of 13 students each. How many groups can be formed?
137 groups can be formed.
Explanation
Divide the total number of students by the number of students per group to find the number of groups.
1771 ÷ 13 = 137
Problem 5
1771 chairs need to be arranged in rows of 37 chairs each. How many rows can be formed?
47 rows can be formed.
Explanation
Divide the total number of chairs by the number of chairs per row.
1771 ÷ 37 = 47
FAQs on Factors of 1771
1.What are the factors of 1771?
2.Mention the prime factors of 1771.
3.Is 1771 a multiple of 13?
4.Mention the factor pairs of 1771?
5.What is the square of 1771?
6.How can children in United States use numbers in everyday life to understand Factors of 1771?
7.What are some fun ways kids in United States can practice Factors of 1771 with numbers?
8.What role do numbers and Factors of 1771 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 1771 skills?
Important Glossaries for Factors of 1771
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1771 are 1, 13, 37, 49, 169, and 1771.
- Prime factors: The factors which are prime numbers. For example, 13 and 137 are prime factors of 1771.
- 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 1771 are (1, 1771) and (13, 137).
- Prime Factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1771 is 13 × 137.
- Multiples: A number that can be evenly divided by another number is a multiple. For example, 1771 is a multiple of 13.
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.
