Factors of 2160 in pair

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Factors of 2160 in pair are (1, 2160) , (2, 1080) , (3, 720) , (4, 540) , (5, 432) , (6, 360) , (8, 270) , (9, 240) , (10, 216) , (12, 180) , (15, 144) , (16, 135) , (18, 120) , (20, 108) , (24, 90) , (27, 80) , (30, 72) , (36, 60) , (40, 54) and (45, 48)

How to find factors of a number in pair

Steps to find factors of 2160 in pair

Find all the numbers that would divide 2160 without leaving any remainder. Starting with the number 1 upto 1080 (half of 2160). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 2160, and read off the answer!

Example: Find factors of 2160 in pair

Factor Pair	Pair Factorization
1 and 2160	1 x 2160 = 2160
2 and 1080	2 x 1080 = 2160
3 and 720	3 x 720 = 2160
4 and 540	4 x 540 = 2160
5 and 432	5 x 432 = 2160
6 and 360	6 x 360 = 2160
8 and 270	8 x 270 = 2160
9 and 240	9 x 240 = 2160
10 and 216	10 x 216 = 2160
12 and 180	12 x 180 = 2160
15 and 144	15 x 144 = 2160
16 and 135	16 x 135 = 2160
18 and 120	18 x 120 = 2160
20 and 108	20 x 108 = 2160
24 and 90	24 x 90 = 2160
27 and 80	27 x 80 = 2160
30 and 72	30 x 72 = 2160
36 and 60	36 x 60 = 2160
40 and 54	40 x 54 = 2160
45 and 48	45 x 48 = 2160

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 2160. They are called negative pair factors.

Hence, the negative pairs of 2160 would be ( -1 , -2160 ) .

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 2160 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 27 , 30 , 36 , 40 , 45 , 48 , 54 , 60 , 72 , 80 , 90 , 108 , 120 , 135 , 144 , 180 , 216 , 240 , 270 , 360 , 432 , 540 , 720 , 1080 , 2160. So, factors of 2160 in pair are (1,2160), (2,1080), (3,720), (4,540), (5,432), (6,360), (8,270), (9,240), (10,216), (12,180), (15,144), (16,135), (18,120), (20,108), (24,90), (27,80), (30,72), (36,60), (40,54), (45,48).

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. 2160 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 2160.
Every number is a factor of zero (0), since 2160 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, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160 are exact divisors of 2160.
Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. Each factor divides 2160 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, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160 are all less than or equal to 2160.

Steps to find Factors of 2160

Step 1. Find all the numbers that would divide 2160 without leaving any remainder. Starting with the number 1 upto 1080 (half of 2160). The number 1 and the number itself are always factors of the given number.

2160 ÷ 1 : Remainder = 0

2160 ÷ 2 : Remainder = 0

2160 ÷ 3 : Remainder = 0

2160 ÷ 4 : Remainder = 0

2160 ÷ 5 : Remainder = 0

2160 ÷ 6 : Remainder = 0

2160 ÷ 8 : Remainder = 0

2160 ÷ 9 : Remainder = 0

2160 ÷ 10 : Remainder = 0

2160 ÷ 12 : Remainder = 0

2160 ÷ 15 : Remainder = 0

2160 ÷ 16 : Remainder = 0

2160 ÷ 18 : Remainder = 0

2160 ÷ 20 : Remainder = 0

2160 ÷ 24 : Remainder = 0

2160 ÷ 27 : Remainder = 0

2160 ÷ 30 : Remainder = 0

2160 ÷ 36 : Remainder = 0

2160 ÷ 40 : Remainder = 0

2160 ÷ 45 : Remainder = 0

2160 ÷ 48 : Remainder = 0

2160 ÷ 54 : Remainder = 0

2160 ÷ 60 : Remainder = 0

2160 ÷ 72 : Remainder = 0

2160 ÷ 80 : Remainder = 0

2160 ÷ 90 : Remainder = 0

2160 ÷ 108 : Remainder = 0

2160 ÷ 120 : Remainder = 0

2160 ÷ 135 : Remainder = 0

2160 ÷ 144 : Remainder = 0

2160 ÷ 180 : Remainder = 0

2160 ÷ 216 : Remainder = 0

2160 ÷ 240 : Remainder = 0

2160 ÷ 270 : Remainder = 0

2160 ÷ 360 : Remainder = 0

2160 ÷ 432 : Remainder = 0

2160 ÷ 540 : Remainder = 0

2160 ÷ 720 : Remainder = 0

2160 ÷ 1080 : Remainder = 0

2160 ÷ 2160 : Remainder = 0

Hence, Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, and 2160

Frequently Asked Questions

Is 2160 a composite number?
Yes 2160 is a composite number.
Is 2160 a prime number?
No 2160 is not a prime number.
What is the mean of factors of 2160?
Factors of 2160 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 27 , 30 , 36 , 40 , 45 , 48 , 54 , 60 , 72 , 80 , 90 , 108 , 120 , 135 , 144 , 180 , 216 , 240 , 270 , 360 , 432 , 540 , 720 , 1080 , 2160. therefore mean of factors of 2160 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 90 + 108 + 120 + 135 + 144 + 180 + 216 + 240 + 270 + 360 + 432 + 540 + 720 + 1080 + 2160) / 40 = 186.00.
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 2160 but she is finding it difficult. Can you help her find out?

Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. So, factors of 2160 in pair are (1,2160), (2,1080), (3,720), (4,540), (5,432), (6,360), (8,270), (9,240), (10,216), (12,180), (15,144), (16,135), (18,120), (20,108), (24,90), (27,80), (30,72), (36,60), (40,54), (45,48).

Sammy wants to write all the negative factors of 2160 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2160 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -27, -30, -36, -40, -45, -48, -54, -60, -72, -80, -90, -108, -120, -135, -144, -180, -216, -240, -270, -360, -432, -540, -720, -1080, -2160. Hence, factors of 2160 in pair are (-1,-2160), (-2,-1080), (-3,-720), (-4,-540), (-5,-432), (-6,-360), (-8,-270), (-9,-240), (-10,-216), (-12,-180), (-15,-144), (-16,-135), (-18,-120), (-20,-108), (-24,-90), (-27,-80), (-30,-72), (-36,-60), (-40,-54), (-45,-48).

Help Deep in writing the positive factors of 2160 in pair and negative factor of 2160 in pair.

Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. Positive factors of 2160 in pair are (1,2160), (2,1080), (3,720), (4,540), (5,432), (6,360), (8,270), (9,240), (10,216), (12,180), (15,144), (16,135), (18,120), (20,108), (24,90), (27,80), (30,72), (36,60), (40,54), (45,48). Negative factors of 2160 in pair are (-1,-2160), (-2,-1080), (-3,-720), (-4,-540), (-5,-432), (-6,-360), (-8,-270), (-9,-240), (-10,-216), (-12,-180), (-15,-144), (-16,-135), (-18,-120), (-20,-108), (-24,-90), (-27,-80), (-30,-72), (-36,-60), (-40,-54), (-45,-48).

Find the product of all factors of 2160.

Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. So the product of all factors of 2160 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 27 x 30 x 36 x 40 x 45 x 48 x 54 x 60 x 72 x 80 x 90 x 108 x 120 x 135 x 144 x 180 x 216 x 240 x 270 x 360 x 432 x 540 x 720 x 1080 x 2160 = 4.887367798068927e+66.

Find the product of all prime factors of 2160.

Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. Prime factors are 2, 2, 2, 2, 3, 3, 3, 5. So, the product of all prime factors of 2160 would be 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160.

Can you help Sammy list the factors of 2160 and also find the factor pairs?

Factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160.
Factors of 2160 in pair are (1,2160), (2,1080), (3,720), (4,540), (5,432), (6,360), (8,270), (9,240), (10,216), (12,180), (15,144), (16,135), (18,120), (20,108), (24,90), (27,80), (30,72), (36,60), (40,54), (45,48).

Sammy has 2160 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 2160 blocks in all possible ways to form a rectangle, we need to calculate factors of 2160 in pair. Therefore, factors of 2160 in pair are (1,2160), (2,1080), (3,720), (4,540), (5,432), (6,360), (8,270), (9,240), (10,216), (12,180), (15,144), (16,135), (18,120), (20,108), (24,90), (27,80), (30,72), (36,60), (40,54), (45,48)