# Factors of 85 in pair

Factors of 85 in pair are (1, 85) , (5, 17)

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

 1.   Steps to find factors of 85 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 85 in pair

Factor Pair Pair Factorization
1 and 85 1 x 85 = 85
5 and 17 5 x 17 = 85

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 85. They are called negative pair factors.

Hence, the negative pairs of 85 would be ( -1 , -85 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 85 are 1 , 5 , 17 , 85. So, factors of 85 in pair are (1,85), (5,17).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a 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, 5, 17, 85 are exact divisors of 85.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 85 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 85.

#### Steps to find Factors of 85

• Step 1. Find all the numbers that would divide 85 without leaving any remainder. Starting with the number 1 upto 42 (half of 85). The number 1 and the number itself are always factors of the given number.
85 ÷ 1 : Remainder = 0
85 ÷ 5 : Remainder = 0
85 ÷ 17 : Remainder = 0
85 ÷ 85 : Remainder = 0

Hence, Factors of 85 are 1, 5, 17, and 85

#### Frequently Asked Questions

• Is there any even prime factor of 85?

No there is no even prime factor, i.e. 2, of 85.

• What is the mean of all prime factors of 85?

Factors of 85 are 1 , 5 , 17 , 85. Prime factors of 85 are 5 , 17. Therefore mean of prime factors of 85 is (5 + 17) / 2 = 11.00.

• What is the mean of factors of 85?

Factors of 85 are 1 , 5 , 17 , 85. therefore mean of factors of 85 is (1 + 5 + 17 + 85) / 4 = 27.00.

• 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 85 blocks in order to form a rectangle in all possible ways? For arranging 85 blocks in order to form a rectangle in all possible ways we need to find factors of 85 in pair.

Factors of 85 are 1, 5, 17, 85. So, factors of 85 in pair are (1,85), (5,17).

Ariel has been asked to write all factor pairs of 85 but she is finding it difficult. Can you help her find out?

Factors of 85 are 1, 5, 17, 85. So, factors of 85 in pair are (1,85), (5,17).

What are the pair factors of 85?

Factors of 85 are 1, 5, 17, 85. Hence, the factors of 85 in pair are (1,85), (5,17).

Can you help Sammy list the factors of 85 and also find the factor pairs?

Factors of 85 are 1, 5, 17, 85.
Factors of 85 in pair are (1,85), (5,17).

Help Diji in finding factors of 85 by Prime Factorization method and then sorting factors of 85 in pairs.

Prime factorization of 85 is 5 x 17. Factors of 85 in pair can be written as (1,85), (5,17).

Write the smallest prime factor of 85.

Smallest prime factor of 85 is 5.

Write the largest prime factor of 85.

Largest prime factor of 85 is 17.

Diji wants to write all the negative factors of 85. Can you help Diji in doing the same?

Negative factors of 85 are -1, -5, -17, -85.

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