# Factors of 297 in pair

Factors of 297 in pair are (1, 297) , (3, 99) , (9, 33) and (11, 27)

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

 1.   Steps to find factors of 297 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 297 in pair

Factor Pair Pair Factorization
1 and 297 1 x 297 = 297
3 and 99 3 x 99 = 297
9 and 33 9 x 33 = 297
11 and 27 11 x 27 = 297

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 297. They are called negative pair factors.

Hence, the negative pairs of 297 would be ( -1 , -297 ) .

#### 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 297 are 1 , 3 , 9 , 11 , 27 , 33 , 99 , 297. So, factors of 297 in pair are (1,297), (3,99), (9,33), (11,27).

#### 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 factor of a number is an exact divisor of that number, example 1, 3, 9, 11, 27, 33, 99, 297 are exact divisors of 297.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 297 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 297.

#### Steps to find Factors of 297

• Step 1. Find all the numbers that would divide 297 without leaving any remainder. Starting with the number 1 upto 148 (half of 297). The number 1 and the number itself are always factors of the given number.
297 ÷ 1 : Remainder = 0
297 ÷ 3 : Remainder = 0
297 ÷ 9 : Remainder = 0
297 ÷ 11 : Remainder = 0
297 ÷ 27 : Remainder = 0
297 ÷ 33 : Remainder = 0
297 ÷ 99 : Remainder = 0
297 ÷ 297 : Remainder = 0

Hence, Factors of 297 are 1, 3, 9, 11, 27, 33, 99, and 297

• Is 297 a composite number?

Yes 297 is a composite number.

• Is 297 a perfect square?

No 297 is not a perfect square.

• Write all odd factors of 297?

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297.
Odd factors of 297 are 1 , 3 , 9 , 11 , 27 , 33 , 99 , 297.

• What is the mean of all prime factors of 297?

Factors of 297 are 1 , 3 , 9 , 11 , 27 , 33 , 99 , 297. Prime factors of 297 are 3 , 3 , 3 , 11. Therefore mean of prime factors of 297 is (3 + 3 + 3 + 11) / 4 = 5.00.

• 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 297 blocks in order to form a rectangle in all possible ways? For arranging 297 blocks in order to form a rectangle in all possible ways we need to find factors of 297 in pair.

Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. So, factors of 297 in pair are (1,297), (3,99), (9,33), (11,27).

How many total number of factors of 297 in pair are possible?

Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. Hence, the factors of 297 in pair are (1,297), (3,99), (9,33), (11,27). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 297 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 297 are -1, -3, -9, -11, -27, -33, -99, -297. Hence, factors of 297 in pair are (-1,-297), (-3,-99), (-9,-33), (-11,-27).

Find the product of all prime factors of 297.

Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. Prime factors are 3, 3, 3, 11. So, the product of all prime factors of 297 would be 3 x 3 x 3 x 11 = 297.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 297.
- Writing all prime factors of 297.
- Writing all the possible factors of 297 in pair.
Help him in writing all these.

Positive factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297.
Prime factors of 297 are 3, 3, 3, 11.
Factors of 297 in pair are (1,297), (3,99), (9,33), (11,27).

Can you help Sammy list the factors of 297 and also find the factor pairs?

Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297.
Factors of 297 in pair are (1,297), (3,99), (9,33), (11,27).

Help Diji in finding factors of 297 by Prime Factorization method and then sorting factors of 297 in pairs.

Prime factorization of 297 is 3 x 3 x 3 x 11. Factors of 297 in pair can be written as (1,297), (3,99), (9,33), (11,27).

Write the smallest prime factor of 297.

Smallest prime factor of 297 is 3.