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

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.

Finding the factors of 379, we can make use of various methods. The methods are listed below.

Methods to find the factors of 379:

1. Multiplication Method
2. Division Method
3. Prime Factor and Prime Factorization
4. Factor Tree

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.

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.

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.

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.
 

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)

• 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.