# Factors of 52 in pair

Factors of 52 in pair are (1, 52) , (2, 26) and (4, 13)

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

 1.   Steps to find factors of 52 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 52 in pair

Factor Pair Pair Factorization
1 and 52 1 x 52 = 52
2 and 26 2 x 26 = 52
4 and 13 4 x 13 = 52

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 52. They are called negative pair factors.

Hence, the negative pairs of 52 would be ( -1 , -52 ) .

#### 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 52 are 1 , 2 , 4 , 13 , 26 , 52. So, factors of 52 in pair are (1,52), (2,26), (4,13).

#### 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. 52 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 52.
• Every number is a factor of zero (0), since 52 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, 4, 13, 26, 52 are exact divisors of 52.
• Factors of 52 are 1, 2, 4, 13, 26, 52. Each factor divides 52 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 13, 26, 52 are all less than or equal to 52.

#### Steps to find Factors of 52

• Step 1. Find all the numbers that would divide 52 without leaving any remainder. Starting with the number 1 upto 26 (half of 52). The number 1 and the number itself are always factors of the given number.
52 ÷ 1 : Remainder = 0
52 ÷ 2 : Remainder = 0
52 ÷ 4 : Remainder = 0
52 ÷ 13 : Remainder = 0
52 ÷ 26 : Remainder = 0
52 ÷ 52 : Remainder = 0

Hence, Factors of 52 are 1, 2, 4, 13, 26, and 52

• Is 52 a composite number?

Yes 52 is a composite number.

• Is 52 a prime number?

No 52 is not a prime number.

• Write five multiples of 52.

Five multiples of 52 are 104, 156, 208, 260, 312.

• Write all odd factors of 52?

The factors of 52 are 1, 2, 4, 13, 26, 52.
Odd factors of 52 are 1 , 13.

• What is the mean of all prime factors of 52?

Factors of 52 are 1 , 2 , 4 , 13 , 26 , 52. Prime factors of 52 are 2 , 2 , 13. Therefore mean of prime factors of 52 is (2 + 2 + 13) / 3 = 5.67.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 52.
- Writing all prime factors of 52.
- Writing all the possible factors of 52 in pair.
Help him in writing all these.

Positive factors of 52 are 1, 2, 4, 13, 26, 52.
Prime factors of 52 are 2, 2, 13.
Factors of 52 in pair are (1,52), (2,26), (4,13).

What are the pair factors of 52?

Factors of 52 are 1, 2, 4, 13, 26, 52. Hence, the factors of 52 in pair are (1,52), (2,26), (4,13).

Can you help Sammy list the factors of 52 and also find the factor pairs?

Factors of 52 are 1, 2, 4, 13, 26, 52.
Factors of 52 in pair are (1,52), (2,26), (4,13).

The area of a rectangle is 52 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 52 in pair. So, the possible combinations (1,52), (2,26), (4,13).

Help Diji in finding factors of 52 by Prime Factorization method and then sorting factors of 52 in pairs.

Prime factorization of 52 is 2 x 2 x 13. Factors of 52 in pair can be written as (1,52), (2,26), (4,13).

Write the smallest prime factor of 52.

Smallest prime factor of 52 is 2.

Write the largest prime factor of 52.

Largest prime factor of 52 is 13.

Diji wants to write all the negative factors of 52. Can you help Diji in doing the same?

Negative factors of 52 are -1, -2, -4, -13, -26, -52.