123 LearnersLast updated on May 26th, 2025
Factors of 371
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.
What are the Factors of 371?
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
How to Find Factors of 371?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 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.
Finding Factors Using Division Method
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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 371
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 371, 1 and 371 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 371 include -1, -7, -53, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 3.5 as a factor, because 371/3.5 ≈ 106, 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 371 are prime numbers. For example, 7 and 53 are the prime factors of 371, but it has other factors like 1 and 371.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 371 as 7 × 53 and missing all the key factors.
Factors of 371 Examples
Problem 1
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.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of members.
371/7 = 53
Problem 2
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.
Explanation
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.
Problem 3
There are 53 boxes and 371 apples. How many apples will be in each box?
Each box will have 7 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
371/53 = 7
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
371/53 = 7
Problem 5
371 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 53 books.
Explanation
Divide total books by shelves.
371/7 = 53
FAQs on Factors of 371
1.What are the factors of 371?
2.Mention the prime factors of 371.
3.Is 371 a multiple of 7?
4.Mention the factor pairs of 371?
5.What is the square of 371?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 371?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 371 with numbers?
8.What role do numbers and Factors of 371 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 371 skills?
Important Glossaries for Factor of 371
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 371 are 1, 7, 53, and 371.
- Prime factors: The factors which are prime numbers. For example, 7 and 53 are prime factors of 371.
- 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 371 are (1, 371) and (7, 53).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 371 is 7 × 53.
- Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 371 are -1, -7, -53, and -371.
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About BrightChamps in Saudi Arabia
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.
