# Factors of 1085

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

#### How to find factors of a number

 1.   Find factors of 1085 using Division Method 2.   Find factors of 1085 using Prime Factorization 3.   Find factors of 1085 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1085

• Divide 1085 by 1: 1085 ÷ 1 : Remainder = 0
• Divide 1085 by 5: 1085 ÷ 5 : Remainder = 0
• Divide 1085 by 7: 1085 ÷ 7 : Remainder = 0
• Divide 1085 by 31: 1085 ÷ 31 : Remainder = 0
• Divide 1085 by 35: 1085 ÷ 35 : Remainder = 0
• Divide 1085 by 155: 1085 ÷ 155 : Remainder = 0
• Divide 1085 by 217: 1085 ÷ 217 : Remainder = 0
• Divide 1085 by 1085: 1085 ÷ 1085 : Remainder = 0

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

#### 2. Steps to find factors of 1085 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 1085 using the division method, follow these steps:

• Step 1. Start dividing 1085 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 1085, which is 5. Divide 1085 by 5 to obtain the quotient (217).
1085 ÷ 5 = 217
• Step 3. Repeat step 1 with the obtained quotient (217).
217 ÷ 7 = 31
31 ÷ 31 = 1

So, the prime factorization of 1085 is, 1085 = 5 x 7 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1085 as shown below:

So, the prime factorization of 1085 is, 1085 = 5 x 7 x 31.

#### 3. Find factors of 1085 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 1085 would be the two numbers which, when multiplied, give 1085 as the result.

The following table represents the calculation of factors of 1085 in pairs:

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 ) , ( -5 , -217 ) , ( -7 , -155 ) and ( -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.

• What are the pair factors of 1085?

Pair factors of 1085 are (1,1085), (5,217), (7,155), (31,35).

• What are five multiples of 1085?

First five multiples of 1085 are 2170, 3255, 4340, 5425, 6510.

• What two numbers make 1085?

Two numbers that make 1085 are 5 and 217.

• What is the sum of all factors of 1085?

The sum of all factors of 1085 is 1536.

• What are factors of -1085?

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

• What are factors of 1085?

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

• Is 1085 a perfect square?

No 1085 is not a perfect square.

• Which is the smallest prime factor of 1085?

Smallest prime factor of 1085 is 5.

• Which is greatest factor of 1085?

The greatest factor of 1085 is 217.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 1085?

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085.
Odd factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085.
Hence product of odd factors of 1085 is; 1 x 5 x 7 x 31 x 35 x 155 x 217 x 1085 = 1385858700625.

Joey wants to write all the prime factors of 1085 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1085 are 5, 7, 31.
So in exponential form it can be written as 5 x 7 x 31.

How many factors are there for 1085?

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 1085. Can you predict the answer?

7 factor(s) of 1085 are 1, 5, 7, 31, 35, 155, 217.

Sammy is puzzled while calculating the prime factors of 1085. Can you help him find them?

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085.
Prime factors of 1085 are 5, 7, 31

What is prime factorization of 1085?

Prime factorization of 1085 is 5 x 7 x 31 = 5 x 7 x 31.

Can you help Rubel to find out the product of the even factors of 1085?

Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085.
Even factors of 1085 are 0.
Hence, product of even factors of 1085 is; 0 = 0.