# Factors of 77 in pair

Factors of 77 in pair are (1, 77) , (7, 11)

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

 1.   Steps to find factors of 77 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 77 in pair

Factor Pair Pair Factorization
1 and 77 1 x 77 = 77
7 and 11 7 x 11 = 77

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 77. They are called negative pair factors.

Hence, the negative pairs of 77 would be ( -1 , -77 ) .

#### 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 77 are 1 , 7 , 11 , 77. So, factors of 77 in pair are (1,77), (7,11).

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 7, 11, 77 are exact divisors of 77.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 77 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 77.

#### Steps to find Factors of 77

• Step 1. Find all the numbers that would divide 77 without leaving any remainder. Starting with the number 1 upto 38 (half of 77). The number 1 and the number itself are always factors of the given number.
77 ÷ 1 : Remainder = 0
77 ÷ 7 : Remainder = 0
77 ÷ 11 : Remainder = 0
77 ÷ 77 : Remainder = 0

Hence, Factors of 77 are 1, 7, 11, and 77

• Is 77 a perfect square?

No 77 is not a perfect square.

• Write five multiples of 77.

Five multiples of 77 are 154, 231, 308, 385, 462.

• Is there any even prime factor of 77?

No there is no even prime factor, i.e. 2, of 77.

• 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

Can you help Rubel in arranging 77 blocks in order to form a rectangle in all possible ways? For arranging 77 blocks in order to form a rectangle in all possible ways we need to find factors of 77 in pair.

Factors of 77 are 1, 7, 11, 77. So, factors of 77 in pair are (1,77), (7,11).

Ariel has been asked to write all factor pairs of 77 but she is finding it difficult. Can you help her find out?

Factors of 77 are 1, 7, 11, 77. So, factors of 77 in pair are (1,77), (7,11).

What are the pair factors of 77?

Factors of 77 are 1, 7, 11, 77. Hence, the factors of 77 in pair are (1,77), (7,11).

Can you help Sammy list the factors of 77 and also find the factor pairs?

Factors of 77 are 1, 7, 11, 77.
Factors of 77 in pair are (1,77), (7,11).

Help Diji in finding factors of 77 by Prime Factorization method and then sorting factors of 77 in pairs.

Prime factorization of 77 is 7 x 11. Factors of 77 in pair can be written as (1,77), (7,11).

Write the smallest prime factor of 77.

Smallest prime factor of 77 is 7.

Write the largest prime factor of 77.

Largest prime factor of 77 is 11.

Diji wants to write all the negative factors of 77. Can you help Diji in doing the same?

Negative factors of 77 are -1, -7, -11, -77.