Factors of 8000 in pair

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Factors of 8000 in pair 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) and (80, 100)

How to find factors of a number in pair

Steps to find factors of 8000 in pair

Find all the numbers that would divide 8000 without leaving any remainder. Starting with the number 1 upto 4000 (half of 8000). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 8000, and read off the answer!

Example: Find factors of 8000 in pair

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 ) .

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 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. So, factors of 8000 in pair 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 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.

Steps to find Factors of 8000

Step 1. Find all the numbers that would divide 8000 without leaving any remainder. Starting with the number 1 upto 4000 (half of 8000). The number 1 and the number itself are always factors of the given number.

8000 ÷ 1 : Remainder = 0

8000 ÷ 2 : Remainder = 0

8000 ÷ 4 : Remainder = 0

8000 ÷ 5 : Remainder = 0

8000 ÷ 8 : Remainder = 0

8000 ÷ 10 : Remainder = 0

8000 ÷ 16 : Remainder = 0

8000 ÷ 20 : Remainder = 0

8000 ÷ 25 : Remainder = 0

8000 ÷ 32 : Remainder = 0

8000 ÷ 40 : Remainder = 0

8000 ÷ 50 : Remainder = 0

8000 ÷ 64 : Remainder = 0

8000 ÷ 80 : Remainder = 0

8000 ÷ 100 : Remainder = 0

8000 ÷ 125 : Remainder = 0

8000 ÷ 160 : Remainder = 0

8000 ÷ 200 : Remainder = 0

8000 ÷ 250 : Remainder = 0

8000 ÷ 320 : Remainder = 0

8000 ÷ 400 : Remainder = 0

8000 ÷ 500 : Remainder = 0

8000 ÷ 800 : Remainder = 0

8000 ÷ 1000 : Remainder = 0

8000 ÷ 1600 : Remainder = 0

8000 ÷ 2000 : Remainder = 0

8000 ÷ 4000 : Remainder = 0

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

Frequently Asked Questions

Is 8000 a composite number?
Yes 8000 is a composite number.
Is 8000 a prime number?
No 8000 is not a prime number.
Is 8000 a perfect square?
No 8000 is not a perfect square.
Write five multiples of 8000.
Five multiples of 8000 are 16000, 24000, 32000, 40000, 48000.
Write all odd 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.
Odd factors of 8000 are 1 , 5 , 25 , 125.

Examples of Factors

Ariel has been asked to write all factor pairs of 8000 but she is finding it difficult. Can you help her find out?

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. So, factors of 8000 in pair 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).

Sammy wants to write all the negative factors of 8000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative 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. Hence, factors of 8000 in pair 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).

Help Deep in writing the positive factors of 8000 in pair and negative factor of 8000 in pair.

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. Positive factors of 8000 in pair 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). Negative factors of 8000 in pair 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).

Find the product of all 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. So the product of all factors of 8000 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 20 x 25 x 32 x 40 x 50 x 64 x 80 x 100 x 125 x 160 x 200 x 250 x 320 x 400 x 500 x 800 x 1000 x 1600 x 2000 x 4000 x 8000 = 4.3980465111039995e+54.

Find the product of all prime 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. Prime factors are 2, 2, 2, 2, 2, 2, 5, 5, 5. So, the product of all prime factors of 8000 would be 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 = 8000.

Can you help Sammy list the factors of 8000 and also find the factor pairs?

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.
Factors of 8000 in pair 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).

Sammy has 8000 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 8000 blocks in all possible ways to form a rectangle, we need to calculate factors of 8000 in pair. Therefore, factors of 8000 in pair 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)