# Factors of 5000

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, and 5000

#### How to find factors of a number

 1.   Find factors of 5000 using Division Method 2.   Find factors of 5000 using Prime Factorization 3.   Find factors of 5000 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 5000

• Divide 5000 by 1: 5000 ÷ 1 : Remainder = 0
• Divide 5000 by 2: 5000 ÷ 2 : Remainder = 0
• Divide 5000 by 4: 5000 ÷ 4 : Remainder = 0
• Divide 5000 by 5: 5000 ÷ 5 : Remainder = 0
• Divide 5000 by 8: 5000 ÷ 8 : Remainder = 0
• Divide 5000 by 10: 5000 ÷ 10 : Remainder = 0
• Divide 5000 by 20: 5000 ÷ 20 : Remainder = 0
• Divide 5000 by 25: 5000 ÷ 25 : Remainder = 0
• Divide 5000 by 40: 5000 ÷ 40 : Remainder = 0
• Divide 5000 by 50: 5000 ÷ 50 : Remainder = 0
• Divide 5000 by 100: 5000 ÷ 100 : Remainder = 0
• Divide 5000 by 125: 5000 ÷ 125 : Remainder = 0
• Divide 5000 by 200: 5000 ÷ 200 : Remainder = 0
• Divide 5000 by 250: 5000 ÷ 250 : Remainder = 0
• Divide 5000 by 500: 5000 ÷ 500 : Remainder = 0
• Divide 5000 by 625: 5000 ÷ 625 : Remainder = 0
• Divide 5000 by 1000: 5000 ÷ 1000 : Remainder = 0
• Divide 5000 by 1250: 5000 ÷ 1250 : Remainder = 0
• Divide 5000 by 2500: 5000 ÷ 2500 : Remainder = 0
• Divide 5000 by 5000: 5000 ÷ 5000 : Remainder = 0

Hence, Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, and 5000

#### 2. Steps to find factors of 5000 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 5000 using the division method, follow these steps:

• Step 1. Start dividing 5000 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 5000, which is 2. Divide 5000 by 2 to obtain the quotient (2500).
5000 ÷ 2 = 2500
• Step 3. Repeat step 1 with the obtained quotient (2500).
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 5000 is, 5000 = 2 x 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 5000 as shown below:

So, the prime factorization of 5000 is, 5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5.

#### 3. Find factors of 5000 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 5000 would be the two numbers which, when multiplied, give 5000 as the result.

The following table represents the calculation of factors of 5000 in pairs:

Factor Pair Pair Factorization
1 and 5000 1 x 5000 = 5000
2 and 2500 2 x 2500 = 5000
4 and 1250 4 x 1250 = 5000
5 and 1000 5 x 1000 = 5000
8 and 625 8 x 625 = 5000
10 and 500 10 x 500 = 5000
20 and 250 20 x 250 = 5000
25 and 200 25 x 200 = 5000
40 and 125 40 x 125 = 5000
50 and 100 50 x 100 = 5000

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 5000. They are called negative pair factors.

Hence, the negative pairs of 5000 would be ( -1 , -5000 ) , ( -2 , -2500 ) , ( -4 , -1250 ) , ( -5 , -1000 ) , ( -8 , -625 ) , ( -10 , -500 ) , ( -20 , -250 ) , ( -25 , -200 ) , ( -40 , -125 ) and ( -50 , -100 ) .

#### 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. 5000 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 5000.
• Every number is a factor of zero (0), since 5000 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, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000 are exact divisors of 5000.
• Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. Each factor divides 5000 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000 are all less than or equal to 5000.

• What are the pair factors of 5000?

Pair factors of 5000 are (1,5000), (2,2500), (4,1250), (5,1000), (8,625), (10,500), (20,250), (25,200), (40,125), (50,100).

• What are five multiples of 5000?

First five multiples of 5000 are 10000, 15000, 20000, 25000, 30000.

• What two numbers make 5000?

Two numbers that make 5000 are 2 and 2500.

• What is the sum of all factors of 5000?

The sum of all factors of 5000 is 11715.

• What are factors of -5000?

Factors of -5000 are -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -625, -1000, -1250, -2500, -5000.

• What are factors of 5000?

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.

• Is 5000 a perfect square?

No 5000 is not a perfect square.

• Which is the smallest prime factor of 5000?

Smallest prime factor of 5000 is 2.

• Which is greatest factor of 5000?

The greatest factor of 5000 is 2500.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 5000?

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.
Odd factors of 5000 are 1, 5, 25, 125, 625.
Hence product of odd factors of 5000 is; 1 x 5 x 25 x 125 x 625 = 9765625.

Joey wants to write all the prime factors of 5000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 5000 are 2, 2, 2, 5, 5, 5, 5.
So in exponential form it can be written as 23 x 54.

How many factors are there for 5000?

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.
So there are in total 20 factors.

Kevin has been asked to write 19 factor(s) of 5000. Can you predict the answer?

19 factor(s) of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500.

Sammy is puzzled while calculating the prime factors of 5000. Can you help him find them?

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.
Prime factors of 5000 are 2, 2, 2, 5, 5, 5, 5

What is prime factorization of 5000?

Prime factorization of 5000 is 2 x 2 x 2 x 5 x 5 x 5 x 5 = 23 x 54.

Can you help Rubel to find out the product of the even factors of 5000?

Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.
Even factors of 5000 are 2, 4, 8, 10, 20, 40, 50, 100, 200, 250, 500, 1000, 1250, 2500, 5000.
Hence, product of even factors of 5000 is; 2 x 4 x 8 x 10 x 20 x 40 x 50 x 100 x 200 x 250 x 500 x 1000 x 1250 x 2500 x 5000 = 1e+30.