187 LearnersLast updated on May 26th, 2025
Factors of 379
Factors of 379 are numbers that can divide 379 completely without leaving a remainder. We often use factors in daily life for organizing events, seating arrangements, and more. In this topic, we will explore the factors of 379 and the different methods to find them.
What are the Factors of 379?
The factors of 379 are the numbers that divide 379 evenly.
Positive Factors: These are the positive numbers that divide 379 evenly.
Positive Factors are 1 and 379.
Negative Factors: These are the negative counterparts of the positive factors.
Negative factors: -1, -379
Prime Factors: Prime factors are the prime numbers themselves, and when multiplied together, give 379 as the product.
Prime factors: 379 (since 379 is a prime number)
Prime Factorization: Prime factorization involves breaking 379 into its prime factors. Since 379 is a prime number, its prime factorization is simply 379 itself.
It is expressed as 379.
Table listing the factors of 379
|
Positive Factors |
1, 379 |
|
Negative Factors |
-1, -379 |
|
Prime Factors |
379 |
|
Prime Factorization |
379 |
This breakdown helps in understanding the various factors of 379, whether they are positive or negative, as well as how prime factorization works for this number.
How to Find the Factors of 379?
Finding the factors of 379, we can make use of various methods. The methods are listed below.
Methods to find the factors of 379:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
The multiplication method finds the pair of factors that give 379 as their product.
Step 1: Find the pair of numbers whose product is 379.
Step 2: The factors are those numbers that, when multiplied, give 379.
Step 3: Make a list of numbers whose product will be 379.
A list of numbers whose products are 379 is given below:
- 1 × 379 = 379
Thus, the factors of 379 are 1 and 379.
Finding Factors Using Division Method
The division method finds the numbers that fully divide the given number. The steps are given below:
Step 1: Since every number is divisible by 1, 1 will always be a factor.
Example: 379 ÷ 1 = 379
Step 2: Move to the next integer. The factors of the number include the number that is used to divide and the number of times the particular number is divided.
Thus, the factors of 379 are 1 and 379.
Prime Factors and Prime Factorization
Multiplying prime numbers to get the given number as their product is called prime factors. A number, when simplified using the factors of that number and expressed in the form of prime factors, is the prime factorization of the number.
Prime Factors of 379: Number 379 has only one prime factor, as it is a prime number.
Prime factors of 379: 379
To find the prime factors of 379, we can divide 379 by 379 itself, since 379 is a prime number.
Step 1: Divide 379 by 379
- 379 ÷ 379 = 1
Prime Factorization of 379 Prime Factorization breaks down the prime factors of 379.
Expressed as 379.
Factor Tree
The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.
Since 379 is a prime number, its factor tree has just one branch with 379.
This tree shows the breakdown of 601 into its prime factors: 1 x 601.
Positive and Negative Factor Pairs of 601
Factors of 379 can be written in both positive and negative pairs. They are like team members. Their product will be equal to the number given.
Positive Factor Pairs: (1, 379)
Negative Factor Pairs: (-1, -379)
Common Mistakes and How to Avoid Them in Factors of 379
Mistakes can occur while finding the factors. Learn about the common errors and how to avoid them.
Mistake 1
Assuming 379 has more than two factors.
Since 379 is a prime number, it only has two factors: 1 and 379.
Factors of 379 Examples
Problem 1
Can you check whether 75 and 25 are co-prime?
No, 75 and 25 are not co-prime
Explanation
To check whether two numbers are co-prime, list their factors first.
Once you have listed the factors, identify the common factors and determine the GCF.
If the GCF is greater than 1, then the numbers are not co-prime.
Factors of 75: 1, 3, 5, 15, 25, 75
Factors of 25: 1, 5, 25
Here, the GCF is 25. So, 75 and 25 are not co-prime.
For co-prime, the GCF of numbers should be 1.
Problem 2
Verify whether 75 is a multiple of 7
No, 75 is not a multiple of 7
Explanation
Multiples of 7 are numbers we get when 7 is multiplied by another number.
No number can be multiplied by 7 to get 75 as the product.
Problem 3
Identify the perfect square from the factors of 75
The perfect square factor of 75 is 25, and the root is 5
Explanation
A perfect square is a number we get when the same number is multiplied twice.
When 5 is multiplied twice (5×5), we get the perfect square 25.
Problem 4
Can you find the factors of 379?
The factors of 379 are 1 and 379
Explanation
To find the factors of a number, check the numbers that divide it evenly.
Since 379 is a prime number, its only factors are 1 and 379.
Problem 5
Is 379 a prime number?
Yes, 379 is a prime number
Explanation
A prime number has only two factors: 1 and itself.
The only factors of 379 are 1 and 379, meaning it is a prime number.
FAQs on Factors of 379
1.What are the factors of 379?
2.How do you determine if a number is a factor of 379?
3.What is the smallest factor of 379?
4.What is the largest factor of 379?
5.How many factors does 379 have?
6.How many odd factors does 379 have?
7.What factors go into 379?
8.Do any perfect squares exist in the factors of 379?
Important glossaries for the Factors of 379
- Factors: Numbers that can divide a given number completely without leaving a remainder. Example: The factors of 379 are 1 and 379.
- Prime Factors: Prime numbers from the list of factors of a particular number, when multiplied together, give the original number. Since 379 is a prime number, its prime factors are just 379 itself.
- Prime Factorization: The process of breaking down a number into its prime factors. The prime factorization of 379 is simply 379.
- Multiple: A number that is the product of a given number and another integer. For example, multiples of 7 are 7, 14, 21, etc.
- Perfect Square: A number that is the product of an integer multiplied by itself. For example, 25 is a perfect square because 5 × 5 = 25.
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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.
