124 LearnersLast updated on May 26th, 2025
Factors of 382
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 382, how they are used in real life, and tips to learn them quickly.
What are the Factors of 382?
The numbers that divide 382 evenly are known as factors of 382. A factor of 382 is a number that divides the number without remainder.
The factors of 382 are 1, 2, 191, and 382.
Negative factors of 382: -1, -2, -191, and -382.
Prime factors of 382: 2 and 191.
Prime factorization of 382: 2 × 191.
The sum of factors of 382: 1 + 2 + 191 + 382 = 576
How to Find Factors of 382?
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 382. Identifying the numbers which are multiplied to get the number 382 is the multiplication method.
Step 1: Multiply 382 by 1, 382 × 1 = 382.
Step 2: Check for other numbers that give 382 after multiplying 2 × 191 = 382
Therefore, the positive factor pairs of 382 are: (1, 382) and (2, 191). All these factor pairs result in 382. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 the simple division method
Step 1: Divide 382 by 1, 382 ÷ 1 = 382.
Step 2: Continue dividing 382 by the numbers until the remainder becomes 0.
382 ÷ 1 = 382
382 ÷ 2 = 191
Therefore, the factors of 382 are: 1, 2, 191, 382.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 382 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
382 ÷ 2 = 191
191 is already a prime number.
The prime factors of 382 are 2 and 191.
The prime factorization of 382 is: 2 × 191.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 382 is divided by 2 to get 191.
Step 2: 191 is a prime number and cannot be divided further. So, the prime factorization of 382 is: 2 × 191.
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 382: (1, 382) and (2, 191).
Negative factor pairs of 382: (-1, -382) and (-2, -191).
Common Mistakes and How to Avoid Them in Factors of 382
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 382, 1 and 382 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 382 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 382/1.5 = 254.666, 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 382 are prime numbers.
For example, 2 and 191 are the prime factors of 382, but it also has other factors like 1 and 382.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 382 as 2 × 191 and missing key factors.
Factors of 382 Examples
Problem 1
There are 382 apples and 2 baskets. How will they divide them equally?
They will get 191 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
382/2 = 191
Problem 2
A rectangular garden has a length of 191 meters and a total area of 382 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
382 = 191 × width
To find the value of width, we need to shift 191 to the left side.
382/191 = width
Width = 2.
Problem 3
There are 4 boxes, and 382 candies. How many candies will be in each box if they are divided equally?
Each box will have 95 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
382/4 = 95.5 (Approximately 95 candies per box, assuming whole candies are distributed).
Problem 4
A class has 382 students, divided into 191 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students by the total number of groups, we get the number of students in each group.
382/191 = 2
Problem 5
382 books need to be arranged in 191 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books by the number of shelves.
382/191 = 2
FAQs on Factors of 382
1.What are the factors of 382?
2.Mention the prime factors of 382.
3.Is 382 a multiple of 2?
4.Mention the factor pairs of 382.
5.What is the square of 382?
6.How can children in Thailand use numbers in everyday life to understand Factors of 382?
7.What are some fun ways kids in Thailand can practice Factors of 382 with numbers?
8.What role do numbers and Factors of 382 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 382 skills?
Important Glossaries for Factors of 382
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 382 are 1, 2, 191, and 382.
- Prime factors: The factors which are prime numbers. For example, 2 and 191 are prime factors of 382.
- 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 382 are (1, 382) and (2, 191).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 382 is 2 × 191.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, the multiplication method for 382 reveals pairs like (2, 191).
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About BrightChamps in Thailand
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.
