Last updated on May 26th, 2025
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.
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
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 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.
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.
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 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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To find the number of boxes needed, divide the total apples by the number of apples per box.
1771 ÷ 13 = 137
A rectangular garden has a length of 13 meters and an area of 1771 square meters. What is the width?
137 meters.
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
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.
To find the number of oranges per crate, divide the total oranges by the number of crates.
1771 ÷ 49 = 37
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.
Divide the total number of students by the number of students per group to find the number of groups.
1771 ÷ 13 = 137
1771 chairs need to be arranged in rows of 37 chairs each. How many rows can be formed?
47 rows can be formed.
Divide the total number of chairs by the number of chairs per row.
1771 ÷ 37 = 47
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.