1. Steps to find factors of 328 using Division Method

Example: Find factors of 328

  • Divide 328 by 1: 328 ÷ 1 : Remainder = 0
  • Divide 328 by 2: 328 ÷ 2 : Remainder = 0
  • Divide 328 by 4: 328 ÷ 4 : Remainder = 0
  • Divide 328 by 8: 328 ÷ 8 : Remainder = 0
  • Divide 328 by 41: 328 ÷ 41 : Remainder = 0
  • Divide 328 by 82: 328 ÷ 82 : Remainder = 0
  • Divide 328 by 164: 328 ÷ 164 : Remainder = 0
  • Divide 328 by 328: 328 ÷ 328 : Remainder = 0

Hence, Factors of 328 are 1, 2, 4, 8, 41, 82, 164, and 328

2. Steps to find factors of 328 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 328 using the division method, follow these steps:

  • Step 1. Start dividing 328 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 328, which is 2. Divide 328 by 2 to obtain the quotient (164).
    328 ÷ 2 = 164
  • Step 3. Repeat step 1 with the obtained quotient (164).
    164 ÷ 2 = 82
    82 ÷ 2 = 41
    41 ÷ 41 = 1

So, the prime factorization of 328 is, 328 = 2 x 2 x 2 x 41.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 328 as shown below:

So, the prime factorization of 328 is, 328 = 2 x 2 x 2 x 41.

3. Find factors of 328 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 328 would be the two numbers which, when multiplied, give 328 as the result.

The following table represents the calculation of factors of 328 in pairs:

Factor Pair Pair Factorization
1 and 328 1 x 328 = 328
2 and 164 2 x 164 = 328
4 and 82 4 x 82 = 328
8 and 41 8 x 41 = 328

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 328. They are called negative pair factors.

Hence, the negative pairs of 328 would be ( -1 , -328 ) , ( -2 , -164 ) , ( -4 , -82 ) and ( -8 , -41 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 328 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 328.
  • Every number is a factor of zero (0), since 328 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 41, 82, 164, 328 are exact divisors of 328.
  • Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. Each factor divides 328 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 41, 82, 164, 328 are all less than or equal to 328.

Frequently Asked Questions

  • Is 328 a perfect square?

    No 328 is not a perfect square.

  • What are factors of 328?

    Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328.

  • Which is greatest factor of 328?

    The greatest factor of 328 is 164.

  • What is the sum of all factors of 328?

    The sum of all factors of 328 is 630.

  • What are multiples of 328?

    First five multiples of 328 are 656, 984, 1312, 1640.

  • What is the greatest prime factors of 328?

    The greatest prime factor of 328 is 41.

  • What are six multiples of 328?

    First five multiples of 328 are 656, 984, 1312, 1640, 1968, 2296.

  • What is prime factorization of 328?

    Prime factorization of 328 is 2 x 2 x 2 x 41.

  • Is 328 a whole number?

    Yes 328 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 328? Help her in writing all the factors.

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

Can you help Sammy find out the product of the odd factors of 328?

Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328.
Odd factors of 328 are 1, 41.
Hence product of odd factors of 328 is; 1 x 41 = 41.

Joey wants to write all the prime factors of 328 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 328 are 2, 2, 2, 41.
So in exponential form it can be written as 23 x 41.

How many factors are there for 328?

Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 328. Can you predict the answer?

7 factor(s) of 328 are 1, 2, 4, 8, 41, 82, 164.

Sammy is puzzled while calculating the prime factors of 328. Can you help him find them?

Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328.
Prime factors of 328 are 2, 2, 2, 41

What is prime factorization of 328?

Prime factorization of 328 is 2 x 2 x 2 x 41 = 23 x 41.