Factors of 328

The factors of 328 are the numbers that divide 328 evenly.

Positive Factors: These are the positive numbers that divide 342 evenly.

Positive factors are  1, 2, 4, 8, 41, 82, 164, and 328.

Negative Factors:  The negative values of the factors of a number.

Negative factors: -1, -2, -4, -8, -41, -82, -164, -328

Prime Factors: Prime factors are the prime numbers themselves, when multiplied together, give 328 as the product.

Prime factors: 2, 41

Prime Factorization: Prime factorization involves breaking 328 into its prime factors.

It is expressed as 2³ × 41¹

Table Listing the Factors of 328

This breakdown helps in understanding the various factors of 328, whether they are positive or negative, as well as how prime factorization works for this number.

To find the factors of 328, there are various methods. Such as:

Methods to find the factors of 328:

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 328 as their product.

Step 1: Find the pair of numbers whose product is 328.

Step 2: The factors are those numbers, when multiplied, give 328.

Step 3: Make a list of numbers whose product will be 328.

A list of numbers whose products are 328 is given below:

• 1 × 328 = 328
• 2 × 164 = 328
• 4 × 82 = 328
• 8 × 41 = 328

Thus, the factors of 328 are 1, 2, 4, 8, 41, 82, 164, and 328.

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: 328 ÷ 1 = 328

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 328 are 1, 2, 4, 8, 41, 82, 164, and 328.Thus, the factors of 328 are 1, 2, 4, 8, 41, 82, 164, and 328.

Multiplying prime numbers to get the given number as their product is called prime factors. A number when it is simplified using the factors of that number and is expressed in the form of prime factors is the prime factorization of a number.

Prime Factors of 328: Number 328 has two prime factors.

Prime factors of 328: 2, 41

To find the prime factors of 328, we can divide 328 with the prime numbers like 2 and 41 from the list of factors of 328.

Step 1: Divide 328 with the prime number 2

• 328 ÷ 2 = 164

Step 2: Divide 164 with the prime number 2

• 164 ÷ 2 = 82

Step 3: Divide 82 with the prime number 2

• 82 ÷ 2 = 41

Step 4: Divide 41 by 41

• 41 ÷ 41 = 1

Prime Factorization of 328: Prime Factorization breaks down the prime factors of 328

Expressed as 2³ × 41¹

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.

This tree shows the breakdown of 328 into its prime factors: 23 x 41

Positive and Negative Factor Pairs of 328

Factors of 328 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.

Positive Factor Pairs: (1, 328), (2, 164), (4, 82), (8, 41)

Negative Factor Pairs: (-1, -328), (-2, -164), (-4, -82), (-8, -41)

• Factor: Numbers that divide another number completely without leaving a remainder. For example, the factors of 328 are 1, 2, 4, 8, 41, 82, 164, and 328.

• Prime Factorization: The process of breaking down a number into its prime factors and expressing it as a product of prime numbers. For 328, its prime factorization is expressed as 2³ × 41.

• Co-prime: Numbers that have only 1 as their common factor. For example, 328 and 164 are not co-prime because their greatest common factor (GCF) is 164.

• Multiple: A number that is a product of a given number and another integer. For instance, 328 is a multiple of 8 since 328 ÷ 8 = 41.

• Perfect Square: A number that is the product of a whole number multiplied by itself. For example, 4 is a perfect square factor of 328, as 2 × 2 = 4.