# Factors of 2500 in pair

Factors of 2500 in pair are (1, 2500) , (2, 1250) , (4, 625) , (5, 500) , (10, 250) , (20, 125) , (25, 100) and (50, 50)

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

 1.   Steps to find factors of 2500 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 2500 in pair

Factor Pair Pair Factorization
1 and 2500 1 x 2500 = 2500
2 and 1250 2 x 1250 = 2500
4 and 625 4 x 625 = 2500
5 and 500 5 x 500 = 2500
10 and 250 10 x 250 = 2500
20 and 125 20 x 125 = 2500
25 and 100 25 x 100 = 2500
50 and 50 50 x 50 = 2500

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 2500. They are called negative pair factors.

Hence, the negative pairs of 2500 would be ( -1 , -2500 ) .

#### 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 2500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 625 , 1250 , 2500. So, factors of 2500 in pair are (1,2500), (2,1250), (4,625), (5,500), (10,250), (20,125), (25,100), (50,50).

#### 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

• Each number is a factor of itself. Eg. 2500 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2500.
• Every number is a factor of zero (0), since 2500 x 0 = 0.
• 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, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500 are exact divisors of 2500.
• Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500. Each factor divides 2500 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500 are all less than or equal to 2500.

#### Steps to find Factors of 2500

• Step 1. Find all the numbers that would divide 2500 without leaving any remainder. Starting with the number 1 upto 1250 (half of 2500). The number 1 and the number itself are always factors of the given number.
2500 ÷ 1 : Remainder = 0
2500 ÷ 2 : Remainder = 0
2500 ÷ 4 : Remainder = 0
2500 ÷ 5 : Remainder = 0
2500 ÷ 10 : Remainder = 0
2500 ÷ 20 : Remainder = 0
2500 ÷ 25 : Remainder = 0
2500 ÷ 50 : Remainder = 0
2500 ÷ 100 : Remainder = 0
2500 ÷ 125 : Remainder = 0
2500 ÷ 250 : Remainder = 0
2500 ÷ 500 : Remainder = 0
2500 ÷ 625 : Remainder = 0
2500 ÷ 1250 : Remainder = 0
2500 ÷ 2500 : Remainder = 0

Hence, Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, and 2500

#### Frequently Asked Questions

• Is 2500 a composite number?

Yes 2500 is a composite number.

• Is 2500 a prime number?

No 2500 is not a prime number.

• Write five multiples of 2500.

Five multiples of 2500 are 5000, 7500, 10000, 12500, 15000.

• Write all odd factors of 2500?

The factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
Odd factors of 2500 are 1 , 5 , 25 , 125 , 625.

• What is the mean of all prime factors of 2500?

Factors of 2500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 625 , 1250 , 2500. Prime factors of 2500 are 2 , 2 , 5 , 5 , 5 , 5. Therefore mean of prime factors of 2500 is (2 + 2 + 5 + 5 + 5 + 5) / 6 = 4.00.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 2500.
- Writing all prime factors of 2500.
- Writing all the possible factors of 2500 in pair.
Help him in writing all these.

Positive factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
Prime factors of 2500 are 2, 2, 5, 5, 5, 5.
Factors of 2500 in pair are (1,2500), (2,1250), (4,625), (5,500), (10,250), (20,125), (25,100), (50,50).

What are the pair factors of 2500?

Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500. Hence, the factors of 2500 in pair are (1,2500), (2,1250), (4,625), (5,500), (10,250), (20,125), (25,100), (50,50).

Can you help Sammy list the factors of 2500 and also find the factor pairs?

Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
Factors of 2500 in pair are (1,2500), (2,1250), (4,625), (5,500), (10,250), (20,125), (25,100), (50,50).

The area of a rectangle is 2500 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 2500 in pair. So, the possible combinations (1,2500), (2,1250), (4,625), (5,500), (10,250), (20,125), (25,100), (50,50).

Help Diji in finding factors of 2500 by Prime Factorization method and then sorting factors of 2500 in pairs.

Prime factorization of 2500 is 2 x 2 x 5 x 5 x 5 x 5. Factors of 2500 in pair can be written as (1,2500), (2,1250), (4,625), (5,500), (10,250), (20,125), (25,100), (50,50).

Write the smallest prime factor of 2500.

Smallest prime factor of 2500 is 2.

Write the largest prime factor of 2500.

Largest prime factor of 2500 is 5.

Diji wants to write all the negative factors of 2500. Can you help Diji in doing the same?

Negative factors of 2500 are -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, -500, -625, -1250, -2500.

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