# Factors of 2005 in pair

Factors of 2005 in pair are (1, 2005) , (5, 401)

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

 1.   Steps to find factors of 2005 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 2005 in pair

Factor Pair Pair Factorization
1 and 2005 1 x 2005 = 2005
5 and 401 5 x 401 = 2005

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 2005. They are called negative pair factors.

Hence, the negative pairs of 2005 would be ( -1 , -2005 ) .

#### 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 2005 are 1 , 5 , 401 , 2005. So, factors of 2005 in pair are (1,2005), (5,401).

#### 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, 401, 2005 are exact divisors of 2005.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 2005 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2005.

#### Steps to find Factors of 2005

• Step 1. Find all the numbers that would divide 2005 without leaving any remainder. Starting with the number 1 upto 1002 (half of 2005). The number 1 and the number itself are always factors of the given number.
2005 ÷ 1 : Remainder = 0
2005 ÷ 5 : Remainder = 0
2005 ÷ 401 : Remainder = 0
2005 ÷ 2005 : Remainder = 0

Hence, Factors of 2005 are 1, 5, 401, and 2005

• Is there any even prime factor of 2005?

No there is no even prime factor, i.e. 2, of 2005.

• What is the mean of all prime factors of 2005?

Factors of 2005 are 1 , 5 , 401 , 2005. Prime factors of 2005 are 5 , 401. Therefore mean of prime factors of 2005 is (5 + 401) / 2 = 203.00.

• What is the mean of factors of 2005?

Factors of 2005 are 1 , 5 , 401 , 2005. therefore mean of factors of 2005 is (1 + 5 + 401 + 2005) / 4 = 603.00.

• 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 2005 blocks in order to form a rectangle in all possible ways? For arranging 2005 blocks in order to form a rectangle in all possible ways we need to find factors of 2005 in pair.

Factors of 2005 are 1, 5, 401, 2005. So, factors of 2005 in pair are (1,2005), (5,401).

Ariel has been asked to write all factor pairs of 2005 but she is finding it difficult. Can you help her find out?

Factors of 2005 are 1, 5, 401, 2005. So, factors of 2005 in pair are (1,2005), (5,401).

What are the pair factors of 2005?

Factors of 2005 are 1, 5, 401, 2005. Hence, the factors of 2005 in pair are (1,2005), (5,401).

Can you help Sammy list the factors of 2005 and also find the factor pairs?

Factors of 2005 are 1, 5, 401, 2005.
Factors of 2005 in pair are (1,2005), (5,401).

Help Diji in finding factors of 2005 by Prime Factorization method and then sorting factors of 2005 in pairs.

Prime factorization of 2005 is 5 x 401. Factors of 2005 in pair can be written as (1,2005), (5,401).

Write the smallest prime factor of 2005.

Smallest prime factor of 2005 is 5.

Write the largest prime factor of 2005.

Largest prime factor of 2005 is 401.

Diji wants to write all the negative factors of 2005. Can you help Diji in doing the same?

Negative factors of 2005 are -1, -5, -401, -2005.