# Factors of 18000 in pair

Factors of 18000 in pair are (1, 18000) , (2, 9000) , (3, 6000) , (4, 4500) , (5, 3600) , (6, 3000) , (8, 2250) , (9, 2000) , (10, 1800) , (12, 1500) , (15, 1200) , (16, 1125) , (18, 1000) , (20, 900) , (24, 750) , (25, 720) , (30, 600) , (36, 500) , (40, 450) , (45, 400) , (48, 375) , (50, 360) , (60, 300) , (72, 250) , (75, 240) , (80, 225) , (90, 200) , (100, 180) , (120, 150) and (125, 144)

#### How to find factors of a number in pair

 1.   Steps to find factors of 18000 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 18000 in pair

Factor Pair Pair Factorization
1 and 18000 1 x 18000 = 18000
2 and 9000 2 x 9000 = 18000
3 and 6000 3 x 6000 = 18000
4 and 4500 4 x 4500 = 18000
5 and 3600 5 x 3600 = 18000
6 and 3000 6 x 3000 = 18000
8 and 2250 8 x 2250 = 18000
9 and 2000 9 x 2000 = 18000
10 and 1800 10 x 1800 = 18000
12 and 1500 12 x 1500 = 18000
15 and 1200 15 x 1200 = 18000
16 and 1125 16 x 1125 = 18000
18 and 1000 18 x 1000 = 18000
20 and 900 20 x 900 = 18000
24 and 750 24 x 750 = 18000
25 and 720 25 x 720 = 18000
30 and 600 30 x 600 = 18000
36 and 500 36 x 500 = 18000
40 and 450 40 x 450 = 18000
45 and 400 45 x 400 = 18000
48 and 375 48 x 375 = 18000
50 and 360 50 x 360 = 18000
60 and 300 60 x 300 = 18000
72 and 250 72 x 250 = 18000
75 and 240 75 x 240 = 18000
80 and 225 80 x 225 = 18000
90 and 200 90 x 200 = 18000
100 and 180 100 x 180 = 18000
120 and 150 120 x 150 = 18000
125 and 144 125 x 144 = 18000

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 18000. They are called negative pair factors.

Hence, the negative pairs of 18000 would be ( -1 , -18000 ) .

#### 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 18000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 100 , 120 , 125 , 144 , 150 , 180 , 200 , 225 , 240 , 250 , 300 , 360 , 375 , 400 , 450 , 500 , 600 , 720 , 750 , 900 , 1000 , 1125 , 1200 , 1500 , 1800 , 2000 , 2250 , 3000 , 3600 , 4500 , 6000 , 9000 , 18000. So, factors of 18000 in pair are (1,18000), (2,9000), (3,6000), (4,4500), (5,3600), (6,3000), (8,2250), (9,2000), (10,1800), (12,1500), (15,1200), (16,1125), (18,1000), (20,900), (24,750), (25,720), (30,600), (36,500), (40,450), (45,400), (48,375), (50,360), (60,300), (72,250), (75,240), (80,225), (90,200), (100,180), (120,150), (125,144).

#### 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. 18000 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 18000.
• Every number is a factor of zero (0), since 18000 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, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000 are exact divisors of 18000.
• Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000. Each factor divides 18000 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000 are all less than or equal to 18000.

#### Steps to find Factors of 18000

• Step 1. Find all the numbers that would divide 18000 without leaving any remainder. Starting with the number 1 upto 9000 (half of 18000). The number 1 and the number itself are always factors of the given number.
18000 ÷ 1 : Remainder = 0
18000 ÷ 2 : Remainder = 0
18000 ÷ 3 : Remainder = 0
18000 ÷ 4 : Remainder = 0
18000 ÷ 5 : Remainder = 0
18000 ÷ 6 : Remainder = 0
18000 ÷ 8 : Remainder = 0
18000 ÷ 9 : Remainder = 0
18000 ÷ 10 : Remainder = 0
18000 ÷ 12 : Remainder = 0
18000 ÷ 15 : Remainder = 0
18000 ÷ 16 : Remainder = 0
18000 ÷ 18 : Remainder = 0
18000 ÷ 20 : Remainder = 0
18000 ÷ 24 : Remainder = 0
18000 ÷ 25 : Remainder = 0
18000 ÷ 30 : Remainder = 0
18000 ÷ 36 : Remainder = 0
18000 ÷ 40 : Remainder = 0
18000 ÷ 45 : Remainder = 0
18000 ÷ 48 : Remainder = 0
18000 ÷ 50 : Remainder = 0
18000 ÷ 60 : Remainder = 0
18000 ÷ 72 : Remainder = 0
18000 ÷ 75 : Remainder = 0
18000 ÷ 80 : Remainder = 0
18000 ÷ 90 : Remainder = 0
18000 ÷ 100 : Remainder = 0
18000 ÷ 120 : Remainder = 0
18000 ÷ 125 : Remainder = 0
18000 ÷ 144 : Remainder = 0
18000 ÷ 150 : Remainder = 0
18000 ÷ 180 : Remainder = 0
18000 ÷ 200 : Remainder = 0
18000 ÷ 225 : Remainder = 0
18000 ÷ 240 : Remainder = 0
18000 ÷ 250 : Remainder = 0
18000 ÷ 300 : Remainder = 0
18000 ÷ 360 : Remainder = 0
18000 ÷ 375 : Remainder = 0
18000 ÷ 400 : Remainder = 0
18000 ÷ 450 : Remainder = 0
18000 ÷ 500 : Remainder = 0
18000 ÷ 600 : Remainder = 0
18000 ÷ 720 : Remainder = 0
18000 ÷ 750 : Remainder = 0
18000 ÷ 900 : Remainder = 0
18000 ÷ 1000 : Remainder = 0
18000 ÷ 1125 : Remainder = 0
18000 ÷ 1200 : Remainder = 0
18000 ÷ 1500 : Remainder = 0
18000 ÷ 1800 : Remainder = 0
18000 ÷ 2000 : Remainder = 0
18000 ÷ 2250 : Remainder = 0
18000 ÷ 3000 : Remainder = 0
18000 ÷ 3600 : Remainder = 0
18000 ÷ 4500 : Remainder = 0
18000 ÷ 6000 : Remainder = 0
18000 ÷ 9000 : Remainder = 0
18000 ÷ 18000 : Remainder = 0

Hence, Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, and 18000

#### Frequently Asked Questions

• Is 18000 a composite number?

Yes 18000 is a composite number.

• Is 18000 a prime number?

No 18000 is not a prime number.

• What is the mean of factors of 18000?

Factors of 18000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 100 , 120 , 125 , 144 , 150 , 180 , 200 , 225 , 240 , 250 , 300 , 360 , 375 , 400 , 450 , 500 , 600 , 720 , 750 , 900 , 1000 , 1125 , 1200 , 1500 , 1800 , 2000 , 2250 , 3000 , 3600 , 4500 , 6000 , 9000 , 18000. therefore mean of factors of 18000 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 100 + 120 + 125 + 144 + 150 + 180 + 200 + 225 + 240 + 250 + 300 + 360 + 375 + 400 + 450 + 500 + 600 + 720 + 750 + 900 + 1000 + 1125 + 1200 + 1500 + 1800 + 2000 + 2250 + 3000 + 3600 + 4500 + 6000 + 9000 + 18000) / 60 = 1047.80.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 18000 but she is finding it difficult. Can you help her find out?

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000. So, factors of 18000 in pair are (1,18000), (2,9000), (3,6000), (4,4500), (5,3600), (6,3000), (8,2250), (9,2000), (10,1800), (12,1500), (15,1200), (16,1125), (18,1000), (20,900), (24,750), (25,720), (30,600), (36,500), (40,450), (45,400), (48,375), (50,360), (60,300), (72,250), (75,240), (80,225), (90,200), (100,180), (120,150), (125,144).

Sammy wants to write all the negative factors of 18000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 18000 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -25, -30, -36, -40, -45, -48, -50, -60, -72, -75, -80, -90, -100, -120, -125, -144, -150, -180, -200, -225, -240, -250, -300, -360, -375, -400, -450, -500, -600, -720, -750, -900, -1000, -1125, -1200, -1500, -1800, -2000, -2250, -3000, -3600, -4500, -6000, -9000, -18000. Hence, factors of 18000 in pair are (-1,-18000), (-2,-9000), (-3,-6000), (-4,-4500), (-5,-3600), (-6,-3000), (-8,-2250), (-9,-2000), (-10,-1800), (-12,-1500), (-15,-1200), (-16,-1125), (-18,-1000), (-20,-900), (-24,-750), (-25,-720), (-30,-600), (-36,-500), (-40,-450), (-45,-400), (-48,-375), (-50,-360), (-60,-300), (-72,-250), (-75,-240), (-80,-225), (-90,-200), (-100,-180), (-120,-150), (-125,-144).

Help Deep in writing the positive factors of 18000 in pair and negative factor of 18000 in pair.

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000. Positive factors of 18000 in pair are (1,18000), (2,9000), (3,6000), (4,4500), (5,3600), (6,3000), (8,2250), (9,2000), (10,1800), (12,1500), (15,1200), (16,1125), (18,1000), (20,900), (24,750), (25,720), (30,600), (36,500), (40,450), (45,400), (48,375), (50,360), (60,300), (72,250), (75,240), (80,225), (90,200), (100,180), (120,150), (125,144). Negative factors of 18000 in pair are (-1,-18000), (-2,-9000), (-3,-6000), (-4,-4500), (-5,-3600), (-6,-3000), (-8,-2250), (-9,-2000), (-10,-1800), (-12,-1500), (-15,-1200), (-16,-1125), (-18,-1000), (-20,-900), (-24,-750), (-25,-720), (-30,-600), (-36,-500), (-40,-450), (-45,-400), (-48,-375), (-50,-360), (-60,-300), (-72,-250), (-75,-240), (-80,-225), (-90,-200), (-100,-180), (-120,-150), (-125,-144).

Find the product of all factors of 18000.

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000. So the product of all factors of 18000 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 16 x 18 x 20 x 24 x 25 x 30 x 36 x 40 x 45 x 48 x 50 x 60 x 72 x 75 x 80 x 90 x 100 x 120 x 125 x 144 x 150 x 180 x 200 x 225 x 240 x 250 x 300 x 360 x 375 x 400 x 450 x 500 x 600 x 720 x 750 x 900 x 1000 x 1125 x 1200 x 1500 x 1800 x 2000 x 2250 x 3000 x 3600 x 4500 x 6000 x 9000 x 18000 = 4.551715960790335e+127.

Find the product of all prime factors of 18000.

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000. Prime factors are 2, 2, 2, 2, 3, 3, 5, 5, 5. So, the product of all prime factors of 18000 would be 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 18000.

Can you help Sammy list the factors of 18000 and also find the factor pairs?

Factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
Factors of 18000 in pair are (1,18000), (2,9000), (3,6000), (4,4500), (5,3600), (6,3000), (8,2250), (9,2000), (10,1800), (12,1500), (15,1200), (16,1125), (18,1000), (20,900), (24,750), (25,720), (30,600), (36,500), (40,450), (45,400), (48,375), (50,360), (60,300), (72,250), (75,240), (80,225), (90,200), (100,180), (120,150), (125,144).

Sammy has 18000 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 18000 blocks in all possible ways to form a rectangle, we need to calculate factors of 18000 in pair. Therefore, factors of 18000 in pair are (1,18000), (2,9000), (3,6000), (4,4500), (5,3600), (6,3000), (8,2250), (9,2000), (10,1800), (12,1500), (15,1200), (16,1125), (18,1000), (20,900), (24,750), (25,720), (30,600), (36,500), (40,450), (45,400), (48,375), (50,360), (60,300), (72,250), (75,240), (80,225), (90,200), (100,180), (120,150), (125,144)

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