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 371, how they are used in real life, and tips to learn them quickly.
The numbers that divide 371 evenly are known as factors of 371. A factor of 371 is a number that divides the number without remainder.
The factors of 371 are 1, 7, 53, and 371.
Negative factors of 371: -1, -7, -53, and -371.
Prime factors of 371: 7 and 53.
Prime factorization of 371: 7 × 53.
The sum of factors of 371: 1 + 7 + 53 + 371 = 432
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 371. Identifying the numbers which are multiplied to get the number 371 is the multiplication method.
Step 1: Multiply 371 by 1, 371 × 1 = 371.
Step 2: Check for other numbers that give 371 after multiplying 7 × 53 = 371
Therefore, the positive factor pairs of 371 are: (1, 371) and (7, 53). All these factor pairs result in 371. For every positive factor, there is a negative factor.
Dividing the given numbers with 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 371 by 1, 371 ÷ 1 = 371.
Step 2: Continue dividing 371 by the numbers until the remainder becomes 0.
371 ÷ 1 = 371
371 ÷ 7 = 53
Therefore, the factors of 371 are: 1, 7, 53, 371.
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 371 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
371 ÷ 7 = 53
53 ÷ 53 = 1
The prime factors of 371 are 7 and 53.
The prime factorization of 371 is: 7 × 53.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 371 is divided by 7 to get 53.
Step 2: 53 is a prime number and cannot be divided further. The prime factorization of 371 is: 7 × 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 371: (1, 371) and (7, 53).
Negative factor pairs of 371: (-1, -371) and (-7, -53).
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 7 members in a club and 371 tickets for a concert. How will they divide it equally?
They will get 53 tickets each.
To divide the tickets equally, we need to divide the total tickets by the number of members.
371/7 = 53
A plot is rectangular, the length of the plot is 53 meters and the total area is 371 square meters. Find the width?
7 meters.
To find the width of the plot, we use the formula, Area = length × width
371 = 53 × width
To find the value of width, we need to shift 53 to the left side.
371/53 = width
Width = 7.
There are 53 boxes and 371 apples. How many apples will be in each box?
Each box will have 7 apples.
To find the apples in each box, divide the total apples by the boxes.
371/53 = 7
In a school, there are 371 students and 53 groups. How many students are there in each group?
There are 7 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
371/53 = 7
371 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 53 books.
Divide total books by shelves.
371/7 = 53
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.