1. Steps to find factors of 326 using Division Method

Example: Find factors of 326

  • Divide 326 by 1: 326 ÷ 1 : Remainder = 0
  • Divide 326 by 2: 326 ÷ 2 : Remainder = 0
  • Divide 326 by 163: 326 ÷ 163 : Remainder = 0
  • Divide 326 by 326: 326 ÷ 326 : Remainder = 0

Hence, Factors of 326 are 1, 2, 163, and 326

2. Steps to find factors of 326 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 326 using the division method, follow these steps:

  • Step 1. Start dividing 326 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 326, which is 2. Divide 326 by 2 to obtain the quotient (163).
    326 ÷ 2 = 163
  • Step 3. Repeat step 1 with the obtained quotient (163).
    163 ÷ 163 = 1

So, the prime factorization of 326 is, 326 = 2 x 163.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 326 as shown below:

So, the prime factorization of 326 is, 326 = 2 x 163.

3. Find factors of 326 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 326 would be the two numbers which, when multiplied, give 326 as the result.

The following table represents the calculation of factors of 326 in pairs:

Factor Pair Pair Factorization
1 and 326 1 x 326 = 326
2 and 163 2 x 163 = 326

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 326. They are called negative pair factors.

Hence, the negative pairs of 326 would be ( -1 , -326 ) , ( -2 , -163 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 326 is a factor of itself.
  • 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, 163, 326 are exact divisors of 326.
  • 1 is a factor of every number. Eg. 1 is a factor of 326.
  • Every number is a factor of zero (0), since 326 x 0 = 0.

Frequently Asked Questions

  • What two numbers make 326?

    Two numbers that make 326 are 2 and 163.

  • What is prime factorization of 326?

    Prime factorization of 326 is 2 x 163.

  • Write some multiples of 326?

    First five multiples of 326 are 652, 978, 1304, 1630.

  • Which is the smallest prime factor of 326?

    The smallest prime factor of 326 is 2.

  • Is 326 a perfect square?

    No 326 is not a perfect square.

  • What is the sum of all factors of 326?

    The sum of all factors of 326 is 492.

  • What are factors of 326?

    Factors of 326 are 1, 2, 163, 326.

  • How do you find factors of a negative number? ( eg. -326 )?

    Factors of -326 are -1, -2, -163, -326.

  • Is 326 a whole number?

    Yes 326 is a whole number.

Examples of Factors

Joy wants to calculate mean of all the factors of 326. Help him in finding the mean of 326.

Factors of 326 are 1, 2, 163, 326.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 326 is 1 + 2 + 163 + 326 = 492.
Hence, the mean of factors of 326 is 492 ÷ 4 = 123.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 326? Help her in writing all the factors.

Positive factors are 1, 2, 163, 326.
Negative factors are -1, -2, -163, -326.

Joey wants to write all the prime factors of 326 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 326 are 2, 163.
So in exponential form it can be written as 2 x 163.

Kevin has been asked to write 3 factor(s) of 326. Can you predict the answer?

3 factor(s) of 326 are 1, 2, 163.

Sammy is puzzled while calculating the prime factors of 326. Can you help him find them?

Factors of 326 are 1, 2, 163, 326.
Prime factors of 326 are 2, 163

What is prime factorization of 326?

Prime factorization of 326 is 2 x 163 = 2 x 163.

Can you help Rubel to find out the product of the even factors of 326?

Factors of 326 are 1, 2, 163, 326.
Even factors of 326 are 2, 326.
Hence, product of even factors of 326 is; 2 x 326 = 652.