# Factors of 2500

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

#### How to find factors of a number

 1.   Find factors of 2500 using Division Method 2.   Find factors of 2500 using Prime Factorization 3.   Find factors of 2500 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2500

• Divide 2500 by 1: 2500 ÷ 1 : Remainder = 0
• Divide 2500 by 2: 2500 ÷ 2 : Remainder = 0
• Divide 2500 by 4: 2500 ÷ 4 : Remainder = 0
• Divide 2500 by 5: 2500 ÷ 5 : Remainder = 0
• Divide 2500 by 10: 2500 ÷ 10 : Remainder = 0
• Divide 2500 by 20: 2500 ÷ 20 : Remainder = 0
• Divide 2500 by 25: 2500 ÷ 25 : Remainder = 0
• Divide 2500 by 50: 2500 ÷ 50 : Remainder = 0
• Divide 2500 by 100: 2500 ÷ 100 : Remainder = 0
• Divide 2500 by 125: 2500 ÷ 125 : Remainder = 0
• Divide 2500 by 250: 2500 ÷ 250 : Remainder = 0
• Divide 2500 by 500: 2500 ÷ 500 : Remainder = 0
• Divide 2500 by 625: 2500 ÷ 625 : Remainder = 0
• Divide 2500 by 1250: 2500 ÷ 1250 : Remainder = 0
• Divide 2500 by 2500: 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

#### 2. Steps to find factors of 2500 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 2500 using the division method, follow these steps:

• Step 1. Start dividing 2500 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 2500, which is 2. Divide 2500 by 2 to obtain the quotient (1250).
2500 ÷ 2 = 1250
• Step 3. Repeat step 1 with the obtained quotient (1250).
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 2500 is, 2500 = 2 x 2 x 5 x 5 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2500 as shown below:

So, the prime factorization of 2500 is, 2500 = 2 x 2 x 5 x 5 x 5 x 5.

#### 3. Find factors of 2500 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 2500 would be the two numbers which, when multiplied, give 2500 as the result.

The following table represents the calculation of factors of 2500 in pairs:

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 ) , ( -2 , -1250 ) , ( -4 , -625 ) , ( -5 , -500 ) , ( -10 , -250 ) , ( -20 , -125 ) , ( -25 , -100 ) and ( -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.

• Which is the smallest prime factor of 2500?

The smallest prime factor of 2500 is 2.

• Is 2500 a whole number?

Yes 2500 is a whole number.

• What are the prime factors of 2500?

The 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.

• What two numbers make 2500?

Two numbers that make 2500 are 2 and 1250.

• What are multiples of 2500?

First five multiples of 2500 are 5000, 7500, 10000, 12500.

• What is the sum of all factors of 2500?

The sum of all factors of 2500 is 5467.

• What are five multiples of 2500?

First five multiples of 2500 are 5000, 7500, 10000, 12500, 15000.

• Is 2500 a perfect square?

Yes 2500 is a perfect square.

• What is the greatest prime factors of 2500?

The greatest prime factor of 2500 is 5.

#### Examples of Factors

How many factors are there for 2500?

Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
So there are in total 15 factors.

Kevin has been asked to write 14 factor(s) of 2500. Can you predict the answer?

14 factor(s) of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250.

Sammy is puzzled while calculating the prime factors of 2500. Can you help him find them?

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

What is prime factorization of 2500?

Prime factorization of 2500 is 2 x 2 x 5 x 5 x 5 x 5 = 22 x 54.

Ariel has been assigned the task to find the product of all the prime factors of 2500. Can you help her?

Prime factors of 2500 are 2, 2, 5, 5, 5, 5.
Hence, the product of prime factors of 10.

Can you help Rubel to find out the product of the even factors of 2500?

Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
Even factors of 2500 are 2, 4, 10, 20, 50, 100, 250, 500, 1250, 2500.
Hence, product of even factors of 2500 is; 2 x 4 x 10 x 20 x 50 x 100 x 250 x 500 x 1250 x 2500 = 3125000000000000000.

Joy wants to calculate mean of all the factors of 2500. Help him in finding the mean of 2500.

Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2500 is 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 + 125 + 250 + 500 + 625 + 1250 + 2500 = 5467.
Hence, the mean of factors of 2500 is 5467 ÷ 15 = 364.47.