Factors of 8000

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Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, and 8000

How to find factors of a number

1. Steps to find factors of 8000 using Division Method

Find all the numbers which can divide 8000 without leaving any remainder, starting from number 1 upto 4000 (half of 8000). The number 1 and the number (8000) itself are always factors of the given number (8000).
Note down all such number. All of those numbers are factors of 8000.

Example: Find factors of 8000

Divide 8000 by 1: 8000 ÷ 1 : Remainder = 0
Divide 8000 by 2: 8000 ÷ 2 : Remainder = 0
Divide 8000 by 4: 8000 ÷ 4 : Remainder = 0
Divide 8000 by 5: 8000 ÷ 5 : Remainder = 0
Divide 8000 by 8: 8000 ÷ 8 : Remainder = 0
Divide 8000 by 10: 8000 ÷ 10 : Remainder = 0
Divide 8000 by 16: 8000 ÷ 16 : Remainder = 0
Divide 8000 by 20: 8000 ÷ 20 : Remainder = 0
Divide 8000 by 25: 8000 ÷ 25 : Remainder = 0
Divide 8000 by 32: 8000 ÷ 32 : Remainder = 0
Divide 8000 by 40: 8000 ÷ 40 : Remainder = 0
Divide 8000 by 50: 8000 ÷ 50 : Remainder = 0
Divide 8000 by 64: 8000 ÷ 64 : Remainder = 0
Divide 8000 by 80: 8000 ÷ 80 : Remainder = 0
Divide 8000 by 100: 8000 ÷ 100 : Remainder = 0
Divide 8000 by 125: 8000 ÷ 125 : Remainder = 0
Divide 8000 by 160: 8000 ÷ 160 : Remainder = 0
Divide 8000 by 200: 8000 ÷ 200 : Remainder = 0
Divide 8000 by 250: 8000 ÷ 250 : Remainder = 0
Divide 8000 by 320: 8000 ÷ 320 : Remainder = 0
Divide 8000 by 400: 8000 ÷ 400 : Remainder = 0
Divide 8000 by 500: 8000 ÷ 500 : Remainder = 0
Divide 8000 by 800: 8000 ÷ 800 : Remainder = 0
Divide 8000 by 1000: 8000 ÷ 1000 : Remainder = 0
Divide 8000 by 1600: 8000 ÷ 1600 : Remainder = 0
Divide 8000 by 2000: 8000 ÷ 2000 : Remainder = 0
Divide 8000 by 4000: 8000 ÷ 4000 : Remainder = 0
Divide 8000 by 8000: 8000 ÷ 8000 : Remainder = 0

Hence, Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, and 8000

2. Steps to find factors of 8000 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 8000 using the division method, follow these steps:

Step 1. Start dividing 8000 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 8000, which is 2. Divide 8000 by 2 to obtain the quotient (4000).
8000 ÷ 2 = 4000
Step 3. Repeat step 1 with the obtained quotient (4000).
4000 ÷ 2 = 2000

2000 ÷ 2 = 1000

1000 ÷ 2 = 500

500 ÷ 2 = 250

250 ÷ 2 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

So, the prime factorization of 8000 is, 8000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 8000 as shown below:

So, the prime factorization of 8000 is, 8000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

3. Find factors of 8000 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 8000 would be the two numbers which, when multiplied, give 8000 as the result.

The following table represents the calculation of factors of 8000 in pairs:

Factor Pair	Pair Factorization
1 and 8000	1 x 8000 = 8000
2 and 4000	2 x 4000 = 8000
4 and 2000	4 x 2000 = 8000
5 and 1600	5 x 1600 = 8000
8 and 1000	8 x 1000 = 8000
10 and 800	10 x 800 = 8000
16 and 500	16 x 500 = 8000
20 and 400	20 x 400 = 8000
25 and 320	25 x 320 = 8000
32 and 250	32 x 250 = 8000
40 and 200	40 x 200 = 8000
50 and 160	50 x 160 = 8000
64 and 125	64 x 125 = 8000
80 and 100	80 x 100 = 8000

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 8000. They are called negative pair factors.

Hence, the negative pairs of 8000 would be ( -1 , -8000 ) , ( -2 , -4000 ) , ( -4 , -2000 ) , ( -5 , -1600 ) , ( -8 , -1000 ) , ( -10 , -800 ) , ( -16 , -500 ) , ( -20 , -400 ) , ( -25 , -320 ) , ( -32 , -250 ) , ( -40 , -200 ) , ( -50 , -160 ) , ( -64 , -125 ) and ( -80 , -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. 8000 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 8000.
Every number is a factor of zero (0), since 8000 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, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000 are exact divisors of 8000.
Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000. Each factor divides 8000 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000 are all less than or equal to 8000.

Frequently Asked Questions

What is prime factorization of 8000?
Prime factorization of 8000 is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.
How do you find factors of a negative number? ( eg. -8000 )?
Factors of -8000 are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -125, -160, -200, -250, -320, -400, -500, -800, -1000, -1600, -2000, -4000, -8000.
What are the prime factors of 8000?
The factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Prime factors of 8000 are 2, 2, 2, 2, 2, 2, 5, 5, 5.
What are pair factors of 8000?
The pair factors of 8000 are (1,8000), (2,4000), (4,2000), (5,1600), (8,1000), (10,800), (16,500), (20,400), (25,320), (32,250), (40,200), (50,160), (64,125), (80,100).
What is the greatest prime factors of 8000?
The greatest prime factor of 8000 is 5.
What are six multiples of 8000?
First five multiples of 8000 are 16000, 24000, 32000, 40000, 48000, 56000.
What are factors of 8000?
Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Which is the smallest prime factor of 8000?
Smallest prime factor of 8000 is 2.
Is 8000 a whole number?
Yes 8000 is a whole number.

Examples of Factors

Kevin has been asked to write 27 factor(s) of 8000. Can you predict the answer?

27 factor(s) of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000.

Sammy is puzzled while calculating the prime factors of 8000. Can you help him find them?

Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Prime factors of 8000 are 2, 2, 2, 2, 2, 2, 5, 5, 5

What is prime factorization of 8000?

Prime factorization of 8000 is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 = 2⁶ x 5³.

Ariel has been assigned the task to find the product of all the prime factors of 8000. Can you help her?

Prime factors of 8000 are 2, 2, 2, 2, 2, 2, 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 8000?

Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Even factors of 8000 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 80, 100, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Hence, product of even factors of 8000 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 50 x 64 x 80 x 100 x 160 x 200 x 250 x 320 x 400 x 500 x 800 x 1000 x 1600 x 2000 x 4000 x 8000 = 2.81474976710656e+50.

Joy wants to calculate mean of all the factors of 8000. Help him in finding the mean of 8000.

Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 8000 is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 125 + 160 + 200 + 250 + 320 + 400 + 500 + 800 + 1000 + 1600 + 2000 + 4000 + 8000 = 19812.
Hence, the mean of factors of 8000 is 19812 ÷ 28 = 707.57.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 8000? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Negative factors are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -125, -160, -200, -250, -320, -400, -500, -800, -1000, -1600, -2000, -4000, -8000.