# Factors of 532 in pair

Factors of 532 in pair are (1, 532) , (2, 266) , (4, 133) , (7, 76) , (14, 38) and (19, 28)

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

 1.   Steps to find factors of 532 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 532 in pair

Factor Pair Pair Factorization
1 and 532 1 x 532 = 532
2 and 266 2 x 266 = 532
4 and 133 4 x 133 = 532
7 and 76 7 x 76 = 532
14 and 38 14 x 38 = 532
19 and 28 19 x 28 = 532

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 532. They are called negative pair factors.

Hence, the negative pairs of 532 would be ( -1 , -532 ) .

#### 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 532 are 1 , 2 , 4 , 7 , 14 , 19 , 28 , 38 , 76 , 133 , 266 , 532. So, factors of 532 in pair are (1,532), (2,266), (4,133), (7,76), (14,38), (19,28).

#### 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. 532 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 532.
• Every number is a factor of zero (0), since 532 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, 7, 14, 19, 28, 38, 76, 133, 266, 532 are exact divisors of 532.
• Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. Each factor divides 532 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532 are all less than or equal to 532.

#### Steps to find Factors of 532

• Step 1. Find all the numbers that would divide 532 without leaving any remainder. Starting with the number 1 upto 266 (half of 532). The number 1 and the number itself are always factors of the given number.
532 ÷ 1 : Remainder = 0
532 ÷ 2 : Remainder = 0
532 ÷ 4 : Remainder = 0
532 ÷ 7 : Remainder = 0
532 ÷ 14 : Remainder = 0
532 ÷ 19 : Remainder = 0
532 ÷ 28 : Remainder = 0
532 ÷ 38 : Remainder = 0
532 ÷ 76 : Remainder = 0
532 ÷ 133 : Remainder = 0
532 ÷ 266 : Remainder = 0
532 ÷ 532 : Remainder = 0

Hence, Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, and 532

• Is 532 a composite number?

Yes 532 is a composite number.

• Is 532 a prime number?

No 532 is not a prime number.

• Write five multiples of 532.

Five multiples of 532 are 1064, 1596, 2128, 2660, 3192.

• Write all odd factors of 532?

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Odd factors of 532 are 1 , 7 , 19 , 133.

• What is the mean of all prime factors of 532?

Factors of 532 are 1 , 2 , 4 , 7 , 14 , 19 , 28 , 38 , 76 , 133 , 266 , 532. Prime factors of 532 are 2 , 2 , 7 , 19. Therefore mean of prime factors of 532 is (2 + 2 + 7 + 19) / 4 = 7.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 532.
- Writing all prime factors of 532.
- Writing all the possible factors of 532 in pair.
Help him in writing all these.

Positive factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Prime factors of 532 are 2, 2, 7, 19.
Factors of 532 in pair are (1,532), (2,266), (4,133), (7,76), (14,38), (19,28).

What are the pair factors of 532?

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. Hence, the factors of 532 in pair are (1,532), (2,266), (4,133), (7,76), (14,38), (19,28).

Can you help Sammy list the factors of 532 and also find the factor pairs?

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Factors of 532 in pair are (1,532), (2,266), (4,133), (7,76), (14,38), (19,28).

The area of a rectangle is 532 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 532 in pair. So, the possible combinations (1,532), (2,266), (4,133), (7,76), (14,38), (19,28).

Help Diji in finding factors of 532 by Prime Factorization method and then sorting factors of 532 in pairs.

Prime factorization of 532 is 2 x 2 x 7 x 19. Factors of 532 in pair can be written as (1,532), (2,266), (4,133), (7,76), (14,38), (19,28).

Write the smallest prime factor of 532.

Smallest prime factor of 532 is 2.

Write the largest prime factor of 532.

Largest prime factor of 532 is 19.

Diji wants to write all the negative factors of 532. Can you help Diji in doing the same?

Negative factors of 532 are -1, -2, -4, -7, -14, -19, -28, -38, -76, -133, -266, -532.