# Factors of 27 in pair

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

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

 1.   Steps to find factors of 27 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 27 in pair

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

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 27. They are called negative pair factors.

Hence, the negative pairs of 27 would be ( -1 , -27 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 27 are 1 , 3 , 9 , 27. So, factors of 27 in pair are (1,27), (3,9).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

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

#### Steps to find Factors of 27

• Step 1. Find all the numbers that would divide 27 without leaving any remainder. Starting with the number 1 upto 13 (half of 27). The number 1 and the number itself are always factors of the given number.
27 ÷ 1 : Remainder = 0
27 ÷ 3 : Remainder = 0
27 ÷ 9 : Remainder = 0
27 ÷ 27 : Remainder = 0

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

• Is 27 a composite number?

Yes 27 is a composite number.

• Is 27 a perfect square?

No 27 is not a perfect square.

• Write all odd factors of 27?

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

• What is the mean of all prime factors of 27?

Factors of 27 are 1 , 3 , 9 , 27. Prime factors of 27 are 3 , 3 , 3. Therefore mean of prime factors of 27 is (3 + 3 + 3) / 3 = 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 27 blocks in order to form a rectangle in all possible ways? For arranging 27 blocks in order to form a rectangle in all possible ways we need to find factors of 27 in pair.

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

Ariel has been asked to write all factor pairs of 27 but she is finding it difficult. Can you help her find out?

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

How many total number of factors of 27 in pair are possible?

Factors of 27 are 1, 3, 9, 27. Hence, the factors of 27 in pair are (1,27), (3,9). Therefore, in total 2 pairs of factors are possible.

Sammy wants to write all the negative factors of 27 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 27 in pair and negative factor of 27 in pair.

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

Find the product of all factors of 27.

Factors of 27 are 1, 3, 9, 27. So the product of all factors of 27 would be 1 x 3 x 9 x 27 = 729.

Find the product of all prime factors of 27.

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

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 27.
- Writing all prime factors of 27.
- Writing all the possible factors of 27 in pair.
Help him in writing all these.

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