# Factors of 243 in pair

Factors of 243 in pair are (1, 243) , (3, 81) and (9, 27)

#### How to find factors of a number in pair

 1.   Steps to find factors of 243 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 243 in pair

Factor Pair Pair Factorization
1 and 243 1 x 243 = 243
3 and 81 3 x 81 = 243
9 and 27 9 x 27 = 243

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 243. They are called negative pair factors.

Hence, the negative pairs of 243 would be ( -1 , -243 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 243 are 1 , 3 , 9 , 27 , 81 , 243. So, factors of 243 in pair are (1,243), (3,81), (9,27).

#### 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

• Every number is a factor of zero (0), since 243 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, 3, 9, 27, 81, 243 are exact divisors of 243.
• Factors of 243 are 1, 3, 9, 27, 81, 243. Each factor divides 243 without leaving a remainder.

#### Steps to find Factors of 243

• Step 1. Find all the numbers that would divide 243 without leaving any remainder. Starting with the number 1 upto 121 (half of 243). The number 1 and the number itself are always factors of the given number.
243 ÷ 1 : Remainder = 0
243 ÷ 3 : Remainder = 0
243 ÷ 9 : Remainder = 0
243 ÷ 27 : Remainder = 0
243 ÷ 81 : Remainder = 0
243 ÷ 243 : Remainder = 0

Hence, Factors of 243 are 1, 3, 9, 27, 81, and 243

• Is 243 a composite number?

Yes 243 is a composite number.

• Is 243 a perfect square?

No 243 is not a perfect square.

• Write all odd factors of 243?

The factors of 243 are 1, 3, 9, 27, 81, 243.
Odd factors of 243 are 1 , 3 , 9 , 27 , 81 , 243.

• What is the mean of all prime factors of 243?

Factors of 243 are 1 , 3 , 9 , 27 , 81 , 243. Prime factors of 243 are 3 , 3 , 3 , 3 , 3. Therefore mean of prime factors of 243 is (3 + 3 + 3 + 3 + 3) / 5 = 3.00.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

#### Examples of Factors

Can you help Rubel in arranging 243 blocks in order to form a rectangle in all possible ways? For arranging 243 blocks in order to form a rectangle in all possible ways we need to find factors of 243 in pair.

Factors of 243 are 1, 3, 9, 27, 81, 243. So, factors of 243 in pair are (1,243), (3,81), (9,27).

Ariel has been asked to write all factor pairs of 243 but she is finding it difficult. Can you help her find out?

Factors of 243 are 1, 3, 9, 27, 81, 243. So, factors of 243 in pair are (1,243), (3,81), (9,27).

How many total number of factors of 243 in pair are possible?

Factors of 243 are 1, 3, 9, 27, 81, 243. Hence, the factors of 243 in pair are (1,243), (3,81), (9,27). Therefore, in total 3 pairs of factors are possible.

Sammy wants to write all the negative factors of 243 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 243 are -1, -3, -9, -27, -81, -243. Hence, factors of 243 in pair are (-1,-243), (-3,-81), (-9,-27).

Help Deep in writing the positive factors of 243 in pair and negative factor of 243 in pair.

Factors of 243 are 1, 3, 9, 27, 81, 243. Positive factors of 243 in pair are (1,243), (3,81), (9,27). Negative factors of 243 in pair are (-1,-243), (-3,-81), (-9,-27).

Find the product of all factors of 243.

Factors of 243 are 1, 3, 9, 27, 81, 243. So the product of all factors of 243 would be 1 x 3 x 9 x 27 x 81 x 243 = 14348907.

Find the product of all prime factors of 243.

Factors of 243 are 1, 3, 9, 27, 81, 243. Prime factors are 3, 3, 3, 3, 3. So, the product of all prime factors of 243 would be 3 x 3 x 3 x 3 x 3 = 243.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 243.
- Writing all prime factors of 243.
- Writing all the possible factors of 243 in pair.
Help him in writing all these.

Positive factors of 243 are 1, 3, 9, 27, 81, 243.
Prime factors of 243 are 3, 3, 3, 3, 3.
Factors of 243 in pair are (1,243), (3,81), (9,27).