Factors of 4000 in pair

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Factors of 4000 in pair are (1, 4000) , (2, 2000) , (4, 1000) , (5, 800) , (8, 500) , (10, 400) , (16, 250) , (20, 200) , (25, 160) , (32, 125) , (40, 100) and (50, 80)

How to find factors of a number in pair

Steps to find factors of 4000 in pair

Find all the numbers that would divide 4000 without leaving any remainder. Starting with the number 1 upto 2000 (half of 4000). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 4000, and read off the answer!

Example: Find factors of 4000 in pair

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

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 4000. They are called negative pair factors.

Hence, the negative pairs of 4000 would be ( -1 , -4000 ) .

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 4000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 200 , 250 , 400 , 500 , 800 , 1000 , 2000 , 4000. So, factors of 4000 in pair are (1,4000), (2,2000), (4,1000), (5,800), (8,500), (10,400), (16,250), (20,200), (25,160), (32,125), (40,100), (50,80).

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. 4000 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 4000.
Every number is a factor of zero (0), since 4000 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, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000 are exact divisors of 4000.
Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. Each factor divides 4000 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, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000 are all less than or equal to 4000.

Steps to find Factors of 4000

Step 1. Find all the numbers that would divide 4000 without leaving any remainder. Starting with the number 1 upto 2000 (half of 4000). The number 1 and the number itself are always factors of the given number.

4000 ÷ 1 : Remainder = 0

4000 ÷ 2 : Remainder = 0

4000 ÷ 4 : Remainder = 0

4000 ÷ 5 : Remainder = 0

4000 ÷ 8 : Remainder = 0

4000 ÷ 10 : Remainder = 0

4000 ÷ 16 : Remainder = 0

4000 ÷ 20 : Remainder = 0

4000 ÷ 25 : Remainder = 0

4000 ÷ 32 : Remainder = 0

4000 ÷ 40 : Remainder = 0

4000 ÷ 50 : Remainder = 0

4000 ÷ 80 : Remainder = 0

4000 ÷ 100 : Remainder = 0

4000 ÷ 125 : Remainder = 0

4000 ÷ 160 : Remainder = 0

4000 ÷ 200 : Remainder = 0

4000 ÷ 250 : Remainder = 0

4000 ÷ 400 : Remainder = 0

4000 ÷ 500 : Remainder = 0

4000 ÷ 800 : Remainder = 0

4000 ÷ 1000 : Remainder = 0

4000 ÷ 2000 : Remainder = 0

4000 ÷ 4000 : Remainder = 0

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

Frequently Asked Questions

Is 4000 a composite number?
Yes 4000 is a composite number.
Is 4000 a prime number?
No 4000 is not a prime number.
Write five multiples of 4000.
Five multiples of 4000 are 8000, 12000, 16000, 20000, 24000.
Write all odd factors of 4000?
The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000.
Odd factors of 4000 are 1 , 5 , 25 , 125.
What is the mean of all prime factors of 4000?
Factors of 4000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 200 , 250 , 400 , 500 , 800 , 1000 , 2000 , 4000. Prime factors of 4000 are 2 , 2 , 2 , 2 , 2 , 5 , 5 , 5. Therefore mean of prime factors of 4000 is (2 + 2 + 2 + 2 + 2 + 5 + 5 + 5) / 8 = 3.13.

Examples of Factors

Ariel has been asked to write all factor pairs of 4000 but she is finding it difficult. Can you help her find out?

Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. So, factors of 4000 in pair are (1,4000), (2,2000), (4,1000), (5,800), (8,500), (10,400), (16,250), (20,200), (25,160), (32,125), (40,100), (50,80).

Sammy wants to write all the negative factors of 4000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 4000 are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -80, -100, -125, -160, -200, -250, -400, -500, -800, -1000, -2000, -4000. Hence, factors of 4000 in pair are (-1,-4000), (-2,-2000), (-4,-1000), (-5,-800), (-8,-500), (-10,-400), (-16,-250), (-20,-200), (-25,-160), (-32,-125), (-40,-100), (-50,-80).

Help Deep in writing the positive factors of 4000 in pair and negative factor of 4000 in pair.

Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. Positive factors of 4000 in pair are (1,4000), (2,2000), (4,1000), (5,800), (8,500), (10,400), (16,250), (20,200), (25,160), (32,125), (40,100), (50,80). Negative factors of 4000 in pair are (-1,-4000), (-2,-2000), (-4,-1000), (-5,-800), (-8,-500), (-10,-400), (-16,-250), (-20,-200), (-25,-160), (-32,-125), (-40,-100), (-50,-80).

Find the product of all factors of 4000.

Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. So the product of all factors of 4000 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 80 x 100 x 125 x 160 x 200 x 250 x 400 x 500 x 800 x 1000 x 2000 x 4000 = 1.6777216e+43.

Find the product of all prime factors of 4000.

Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. Prime factors are 2, 2, 2, 2, 2, 5, 5, 5. So, the product of all prime factors of 4000 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 = 4000.

Can you help Sammy list the factors of 4000 and also find the factor pairs?

Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000.
Factors of 4000 in pair are (1,4000), (2,2000), (4,1000), (5,800), (8,500), (10,400), (16,250), (20,200), (25,160), (32,125), (40,100), (50,80).

Sammy has 4000 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 4000 blocks in all possible ways to form a rectangle, we need to calculate factors of 4000 in pair. Therefore, factors of 4000 in pair are (1,4000), (2,2000), (4,1000), (5,800), (8,500), (10,400), (16,250), (20,200), (25,160), (32,125), (40,100), (50,80)