Factors of 243

Did you know that 243 is a natural number which is the fifth power of 3? In this lesson, we will calculate the factors of 243, prime factors of 243, and factors of 243 in pairs along with solved examples for a better understanding.

• Factors of 243: 1, 3, 9, 27, 81 and 243
• Prime Factorization of 243: 243 = 3⁵

What are the Factors of 243?

The factors of 243 are all the numbers that give the value 243 when multiplied. As 243 is odd, it will not have 2 or any multiples of 2 as its factor.  To understand why it is composite, let's recall the definition of a composite number.

A number is said to be composite if it has more than two factors.

How to Calculate the Factors of 243?

Let's learn how to calculate the factors of 243. Let's try calculating the factors of 243, starting with the smallest whole number, i.e., 1.

Did it result in the remainder 0?

Yes! So, we will get,

• 243 ÷1= 243
• 243 ×1= 243

Now try to find out for other whole numbers. As already discussed in the earlier section, even numbers cannot divide 249.

Hence, we only need to check odd numbers. 

Thus, the factors of 243 are 1, 3, 9, 27, 81 and 243.

Explore factors using illustrations and interactive examples.

• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 43 - The factors of 43 are 1, 43
• Factors of 32 - The factors of 32 are  1, 2, 4, 8, 16, 32
• Factors of 300 - The factors of 300 are  1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
• Factors of 34 - The factors of 34 are  1, 2, 17, 34

Important Notes:

• As 243 is an odd number, all its factors will be odd.
• 243 is a non-perfect square number. Thus, it will have an even number of factors. This property holds true for every non-perfect square number.
• Factors are never fractions or decimals.

Factors of 243 by Prime Factorization

Prime factorization means to express a composite number as the product of its prime factors. To get the prime factorization of 243, we divide it by its smallest prime factor which is 3.

243/3= 81

Now divide 81 by its smallest prime factor. This process goes on till we get the quotient as 1

The prime factorization of 243 is shown below:

Have you noticed any pattern?

243 = 3 × 81 = 3 × 3 × 3 × 3 × 3  =  243 = 3⁵

Hence, the factors of 243 are 1, 3, 9, 27, 81 and 243.

Factors of 243 in Pairs

Let's write the factors of 243 in pairs. The pair factors of 243 can be given as below:

The above-given factors are positive pair factors. The product of two negative numbers also gives a positive number. Hence, it is possible to have negative pair factors as well.

Let's have a look at the negative pair factors.
(-1,-243), (-3, -81), (-9, -27)