# Factors of 1085 in pair

Factors of 1085 in pair are (1, 1085) , (5, 217) , (7, 155) and (31, 35)

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

 1.   Steps to find factors of 1085 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 1085 in pair

Factor Pair Pair Factorization
1 and 1085 1 x 1085 = 1085
5 and 217 5 x 217 = 1085
7 and 155 7 x 155 = 1085
31 and 35 31 x 35 = 1085

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 1085. They are called negative pair factors.

Hence, the negative pairs of 1085 would be ( -1 , -1085 ) .

#### 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 1085 are 1 , 5 , 7 , 31 , 35 , 155 , 217 , 1085. So, factors of 1085 in pair are (1,1085), (5,217), (7,155), (31,35).

#### 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, 7, 31, 35, 155, 217, 1085 are exact divisors of 1085.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1085 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1085.

#### Steps to find Factors of 1085

• Step 1. Find all the numbers that would divide 1085 without leaving any remainder. Starting with the number 1 upto 542 (half of 1085). The number 1 and the number itself are always factors of the given number.
1085 ÷ 1 : Remainder = 0
1085 ÷ 5 : Remainder = 0
1085 ÷ 7 : Remainder = 0
1085 ÷ 31 : Remainder = 0
1085 ÷ 35 : Remainder = 0
1085 ÷ 155 : Remainder = 0
1085 ÷ 217 : Remainder = 0
1085 ÷ 1085 : Remainder = 0

Hence, Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, and 1085

• Is 1085 a perfect square?

No 1085 is not a perfect square.

• Write five multiples of 1085.

Five multiples of 1085 are 2170, 3255, 4340, 5425, 6510.

• Is there any even prime factor of 1085?

No there is no even prime factor, i.e. 2, of 1085.

• 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 1085 blocks in order to form a rectangle in all possible ways? For arranging 1085 blocks in order to form a rectangle in all possible ways we need to find factors of 1085 in pair.

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. So, factors of 1085 in pair are (1,1085), (5,217), (7,155), (31,35).

Ariel has been asked to write all factor pairs of 1085 but she is finding it difficult. Can you help her find out?

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. So, factors of 1085 in pair are (1,1085), (5,217), (7,155), (31,35).

What are the pair factors of 1085?

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. Hence, the factors of 1085 in pair are (1,1085), (5,217), (7,155), (31,35).

Can you help Sammy list the factors of 1085 and also find the factor pairs?

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085.
Factors of 1085 in pair are (1,1085), (5,217), (7,155), (31,35).

Help Diji in finding factors of 1085 by Prime Factorization method and then sorting factors of 1085 in pairs.

Prime factorization of 1085 is 5 x 7 x 31. Factors of 1085 in pair can be written as (1,1085), (5,217), (7,155), (31,35).

Write the smallest prime factor of 1085.

Smallest prime factor of 1085 is 5.

Write the largest prime factor of 1085.

Largest prime factor of 1085 is 31.

Diji wants to write all the negative factors of 1085. Can you help Diji in doing the same?

Negative factors of 1085 are -1, -5, -7, -31, -35, -155, -217, -1085.