# Factors of 492 in pair

Factors of 492 in pair are (1, 492) , (2, 246) , (3, 164) , (4, 123) , (6, 82) and (12, 41)

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

 1.   Steps to find factors of 492 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 492 in pair

Factor Pair Pair Factorization
1 and 492 1 x 492 = 492
2 and 246 2 x 246 = 492
3 and 164 3 x 164 = 492
4 and 123 4 x 123 = 492
6 and 82 6 x 82 = 492
12 and 41 12 x 41 = 492

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 492. They are called negative pair factors.

Hence, the negative pairs of 492 would be ( -1 , -492 ) .

#### 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 492 are 1 , 2 , 3 , 4 , 6 , 12 , 41 , 82 , 123 , 164 , 246 , 492. So, factors of 492 in pair are (1,492), (2,246), (3,164), (4,123), (6,82), (12,41).

#### 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

• Each number is a factor of itself. Eg. 492 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 492.
• Every number is a factor of zero (0), since 492 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, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 are exact divisors of 492.
• Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. Each factor divides 492 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 are all less than or equal to 492.

#### Steps to find Factors of 492

• Step 1. Find all the numbers that would divide 492 without leaving any remainder. Starting with the number 1 upto 246 (half of 492). The number 1 and the number itself are always factors of the given number.
492 ÷ 1 : Remainder = 0
492 ÷ 2 : Remainder = 0
492 ÷ 3 : Remainder = 0
492 ÷ 4 : Remainder = 0
492 ÷ 6 : Remainder = 0
492 ÷ 12 : Remainder = 0
492 ÷ 41 : Remainder = 0
492 ÷ 82 : Remainder = 0
492 ÷ 123 : Remainder = 0
492 ÷ 164 : Remainder = 0
492 ÷ 246 : Remainder = 0
492 ÷ 492 : Remainder = 0

Hence, Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492

• Is 492 a composite number?

Yes 492 is a composite number.

• Is 492 a prime number?

No 492 is not a prime number.

• What is the mean of factors of 492?

Factors of 492 are 1 , 2 , 3 , 4 , 6 , 12 , 41 , 82 , 123 , 164 , 246 , 492. therefore mean of factors of 492 is (1 + 2 + 3 + 4 + 6 + 12 + 41 + 82 + 123 + 164 + 246 + 492) / 12 = 98.00.

• 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.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 492.
- Writing all prime factors of 492.
- Writing all the possible factors of 492 in pair.
Help him in writing all these.

Positive factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
Prime factors of 492 are 2, 2, 3, 41.
Factors of 492 in pair are (1,492), (2,246), (3,164), (4,123), (6,82), (12,41).

What are the pair factors of 492?

Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. Hence, the factors of 492 in pair are (1,492), (2,246), (3,164), (4,123), (6,82), (12,41).

Can you help Sammy list the factors of 492 and also find the factor pairs?

Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
Factors of 492 in pair are (1,492), (2,246), (3,164), (4,123), (6,82), (12,41).

The area of a rectangle is 492 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 492 in pair. So, the possible combinations (1,492), (2,246), (3,164), (4,123), (6,82), (12,41).

Help Diji in finding factors of 492 by Prime Factorization method and then sorting factors of 492 in pairs.

Prime factorization of 492 is 2 x 2 x 3 x 41. Factors of 492 in pair can be written as (1,492), (2,246), (3,164), (4,123), (6,82), (12,41).

Write the smallest prime factor of 492.

Smallest prime factor of 492 is 2.

Write the largest prime factor of 492.

Largest prime factor of 492 is 41.

Diji wants to write all the negative factors of 492. Can you help Diji in doing the same?

Negative factors of 492 are -1, -2, -3, -4, -6, -12, -41, -82, -123, -164, -246, -492.