# Factors of 76 in pair

Factors of 76 in pair are (1, 76) , (2, 38) and (4, 19)

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

 1.   Steps to find factors of 76 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 76 in pair

Factor Pair Pair Factorization
1 and 76 1 x 76 = 76
2 and 38 2 x 38 = 76
4 and 19 4 x 19 = 76

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 76. They are called negative pair factors.

Hence, the negative pairs of 76 would be ( -1 , -76 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 76 are 1 , 2 , 4 , 19 , 38 , 76. So, factors of 76 in pair are (1,76), (2,38), (4,19).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

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

#### Steps to find Factors of 76

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

Hence, Factors of 76 are 1, 2, 4, 19, 38, and 76

• Is 76 a composite number?

Yes 76 is a composite number.

• Is 76 a prime number?

No 76 is not a prime number.

• Write five multiples of 76.

Five multiples of 76 are 152, 228, 304, 380, 456.

• Write all odd factors of 76?

The factors of 76 are 1, 2, 4, 19, 38, 76.
Odd factors of 76 are 1 , 19.

• What is the mean of all prime factors of 76?

Factors of 76 are 1 , 2 , 4 , 19 , 38 , 76. Prime factors of 76 are 2 , 2 , 19. Therefore mean of prime factors of 76 is (2 + 2 + 19) / 3 = 7.67.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 76.
- Writing all prime factors of 76.
- Writing all the possible factors of 76 in pair.
Help him in writing all these.

Positive factors of 76 are 1, 2, 4, 19, 38, 76.
Prime factors of 76 are 2, 2, 19.
Factors of 76 in pair are (1,76), (2,38), (4,19).

What are the pair factors of 76?

Factors of 76 are 1, 2, 4, 19, 38, 76. Hence, the factors of 76 in pair are (1,76), (2,38), (4,19).

Can you help Sammy list the factors of 76 and also find the factor pairs?

Factors of 76 are 1, 2, 4, 19, 38, 76.
Factors of 76 in pair are (1,76), (2,38), (4,19).

The area of a rectangle is 76 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 76 in pair. So, the possible combinations (1,76), (2,38), (4,19).

Help Diji in finding factors of 76 by Prime Factorization method and then sorting factors of 76 in pairs.

Prime factorization of 76 is 2 x 2 x 19. Factors of 76 in pair can be written as (1,76), (2,38), (4,19).

Write the smallest prime factor of 76.

Smallest prime factor of 76 is 2.

Write the largest prime factor of 76.

Largest prime factor of 76 is 19.

Diji wants to write all the negative factors of 76. Can you help Diji in doing the same?

Negative factors of 76 are -1, -2, -4, -19, -38, -76.