# Factors of 82 in pair

Factors of 82 in pair are (1, 82) , (2, 41)

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

 1.   Steps to find factors of 82 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 82 in pair

Factor Pair Pair Factorization
1 and 82 1 x 82 = 82
2 and 41 2 x 41 = 82

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 82. They are called negative pair factors.

Hence, the negative pairs of 82 would be ( -1 , -82 ) .

#### 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 82 are 1 , 2 , 41 , 82. So, factors of 82 in pair are (1,82), (2,41).

#### 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. 82 is a factor of itself.
• 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, 41, 82 are exact divisors of 82.
• 1 is a factor of every number. Eg. 1 is a factor of 82.
• Every number is a factor of zero (0), since 82 x 0 = 0.

#### Steps to find Factors of 82

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

Hence, Factors of 82 are 1, 2, 41, and 82

• Is 82 a composite number?

Yes 82 is a composite number.

• Is 82 a prime number?

No 82 is not a prime number.

• Write five multiples of 82.

Five multiples of 82 are 164, 246, 328, 410, 492.

• Write all odd factors of 82?

The factors of 82 are 1, 2, 41, 82.
Odd factors of 82 are 1 , 41.

• What is the mean of all prime factors of 82?

Factors of 82 are 1 , 2 , 41 , 82. Prime factors of 82 are 2 , 41. Therefore mean of prime factors of 82 is (2 + 41) / 2 = 21.50.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 82 but she is finding it difficult. Can you help her find out?

Factors of 82 are 1, 2, 41, 82. So, factors of 82 in pair are (1,82), (2,41).

Sammy wants to write all the negative factors of 82 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 82 are -1, -2, -41, -82. Hence, factors of 82 in pair are (-1,-82), (-2,-41).

Help Deep in writing the positive factors of 82 in pair and negative factor of 82 in pair.

Factors of 82 are 1, 2, 41, 82. Positive factors of 82 in pair are (1,82), (2,41). Negative factors of 82 in pair are (-1,-82), (-2,-41).

Find the product of all prime factors of 82.

Factors of 82 are 1, 2, 41, 82. Prime factors are 2, 41. So, the product of all prime factors of 82 would be 2 x 41 = 82.

Can you help Sammy list the factors of 82 and also find the factor pairs?

Factors of 82 are 1, 2, 41, 82.
Factors of 82 in pair are (1,82), (2,41).

Help Diji in finding factors of 82 by Prime Factorization method and then sorting factors of 82 in pairs.

Prime factorization of 82 is 2 x 41. Factors of 82 in pair can be written as (1,82), (2,41).

Write the smallest prime factor of 82.

Smallest prime factor of 82 is 2.

Write the largest prime factor of 82.

Largest prime factor of 82 is 41.