# Factors of 273 in pair

Factors of 273 in pair are (1, 273) , (3, 91) , (7, 39) and (13, 21)

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

 1.   Steps to find factors of 273 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 273 in pair

Factor Pair Pair Factorization
1 and 273 1 x 273 = 273
3 and 91 3 x 91 = 273
7 and 39 7 x 39 = 273
13 and 21 13 x 21 = 273

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 273. They are called negative pair factors.

Hence, the negative pairs of 273 would be ( -1 , -273 ) .

#### 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 273 are 1 , 3 , 7 , 13 , 21 , 39 , 91 , 273. So, factors of 273 in pair are (1,273), (3,91), (7,39), (13,21).

#### 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 factor of a number is an exact divisor of that number, example 1, 3, 7, 13, 21, 39, 91, 273 are exact divisors of 273.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 273 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 273.

#### Steps to find Factors of 273

• Step 1. Find all the numbers that would divide 273 without leaving any remainder. Starting with the number 1 upto 136 (half of 273). The number 1 and the number itself are always factors of the given number.
273 ÷ 1 : Remainder = 0
273 ÷ 3 : Remainder = 0
273 ÷ 7 : Remainder = 0
273 ÷ 13 : Remainder = 0
273 ÷ 21 : Remainder = 0
273 ÷ 39 : Remainder = 0
273 ÷ 91 : Remainder = 0
273 ÷ 273 : Remainder = 0

Hence, Factors of 273 are 1, 3, 7, 13, 21, 39, 91, and 273

#### Frequently Asked Questions

• Is 273 a composite number?

Yes 273 is a composite number.

• Is 273 a perfect square?

No 273 is not a perfect square.

• Write all odd factors of 273?

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
Odd factors of 273 are 1 , 3 , 7 , 13 , 21 , 39 , 91 , 273.

• What is the mean of all prime factors of 273?

Factors of 273 are 1 , 3 , 7 , 13 , 21 , 39 , 91 , 273. Prime factors of 273 are 3 , 7 , 13. Therefore mean of prime factors of 273 is (3 + 7 + 13) / 3 = 7.67.

• 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 273 blocks in order to form a rectangle in all possible ways? For arranging 273 blocks in order to form a rectangle in all possible ways we need to find factors of 273 in pair.

Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. So, factors of 273 in pair are (1,273), (3,91), (7,39), (13,21).

How many total number of factors of 273 in pair are possible?

Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. Hence, the factors of 273 in pair are (1,273), (3,91), (7,39), (13,21). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 273 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 273 are -1, -3, -7, -13, -21, -39, -91, -273. Hence, factors of 273 in pair are (-1,-273), (-3,-91), (-7,-39), (-13,-21).

Find the product of all prime factors of 273.

Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. Prime factors are 3, 7, 13. So, the product of all prime factors of 273 would be 3 x 7 x 13 = 273.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 273.
- Writing all prime factors of 273.
- Writing all the possible factors of 273 in pair.
Help him in writing all these.

Positive factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
Prime factors of 273 are 3, 7, 13.
Factors of 273 in pair are (1,273), (3,91), (7,39), (13,21).

Can you help Sammy list the factors of 273 and also find the factor pairs?

Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
Factors of 273 in pair are (1,273), (3,91), (7,39), (13,21).

Help Diji in finding factors of 273 by Prime Factorization method and then sorting factors of 273 in pairs.

Prime factorization of 273 is 3 x 7 x 13. Factors of 273 in pair can be written as (1,273), (3,91), (7,39), (13,21).

Write the smallest prime factor of 273.

Smallest prime factor of 273 is 3.

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