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Factors of 379: Prime Factorization, Methods, and Examples
There are only two positive factors of the number 379 and those are 1 and 379 . The same is the case with negative factors -1 and -379 which means it has a total of four factors .
379 is an odd number also it has only factors that are itself 379 and 1 so this indicates it is a prime number too.
Factors of 379
Here are the factors of number 379.
Factors of 379: 1 and 379
Negative Factors of 379
The negative factors of 379 are similar to their positive aspects, just with a negative sign.
Negative Factors of 379: -1 and -379
Prime Factorization of 379
The prime factorization of 379 is the way of expressing its prime factors in the product form.
Prime Factorization: 1 x 379
In this article, we will learn about the factors of 379 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.
What Are the Factors of 379?
The factors of 379 are 1 and 379. These numbers are the factors as they do not leave any remainder when divided by 379.
The factors of 379 are classified as prime numbers and composite numbers. The prime factors of the number 379 can be determined using the prime factorization technique.
How To Find the Factors of 379?
You can find the factors of 379 by using the rules of divisibility. The divisibility rule states that any number, when divided by any other natural number, is said to be divisible by the number if the quotient is the whole number and the resulting remainder is zero.
To find the factors of 379, create a list containing the numbers that are exactly divisible by 379 with zero remainders. One important thing to note is that 1 and 379 are the 379’s factors as every natural number has 1 and the number itself as its factor.
1 is also called the universal factor of every number. The factors of 379 are determined as follows:
\[\dfrac{379}{1} = 379\]
\[\dfrac{379}{379} = 1\]
Therefore, 1 and 379 are the factors of 379.
Total Number of Factors of 379
For 379, there are two positive factors and two negative ones. So in total, there are four factors of 379.
To find the total number of factors of the given number, follow the procedure mentioned below:
- Find the factorization/prime factorization of the given number.
- Demonstrate the prime factorization of the number in the form of exponent form.
- Add 1 to each of the exponents of the prime factor.
- Now, multiply the resulting exponents together. This obtained product is equivalent to the total number of factors of the given number.
By following this procedure, the total number of factors of 379 is given as:
Factorization of 379 is 1 x 379.
The exponent of 1 and 379 is 1.
Adding 1 to each and multiplying them together results in 4.
Therefore, the total number of factors of 379 is 4. Two are positive, and two factors are negative.
Important Notes
Here are some essential points that must be considered while finding the factors of any given number:
- The factor of any given number must be a whole number.
- The factors of the number cannot be in the form of decimals or fractions.
- Factors can be positive as well as negative.
- Negative factors are the additive inverse of the positive factors of a given number.
- The factor of a number cannot be greater than that number.
- Every even number has 2 as its prime factor, the smallest prime factor.
Factors of 379 by Prime Factorization
The number 379 is a prime number. Prime factorization is a valuable technique for finding the number’s prime factors and expressing the number as the product of its prime factors.
Before finding the factors of 379 using prime factorization, let us find out what prime factors are. Prime factors are the factors of any given number that are only divisible by 1 and themselves.
To start the prime factorization of 379, start dividing by its most minor prime factor. First, determine that the given number is either even or odd. If it is an even number, then 2 will be the smallest prime factor.
Continue splitting the quotient obtained until 1 is received as the quotient. The prime factorization of 379 can be expressed as:
379 = 1 x 379
Factors of 379 in Pairs
The factor pairs are the duplet of numbers that, when multiplied together, result in the factorized number. Factor pairs can be more than one depending on the total number of factors given.
For 379, the factor pairs can be found as:
1 x 379 = 379
The possible factor pairs of 379 are given as (1, 379).
All these numbers in pairs, when multiplied, give 379 as the product.
The negative factor pairs of 379 are given as:
-1 x -379 = 379
It is important to note that in negative factor pairs, the minus sign has been multiplied by the minus sign, due to which the resulting product is the original positive number. Therefore, -1 and -379 are called negative factors of 379.
The list of all the factors of 379, including positive as well as negative numbers, is given below.
Factor list of 379: 1, -1, 379, and -379
Factors of 379 Solved Examples
To better understand the concept of factors, let’s solve some examples.
Example 1
How many factors of 379 are there?
Solution
The total number of Factors of 379 is two.
Factors of 379 are 1 and 379.
Example 2
Find the sum of factors of 379.
Solution
The factors of 379 are given as:
factors of 379 = 1, 379
So the sum of factors 379 can be written as:
1 + 379 = 380