Factors of 1920 in pair

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Factors of 1920 in pair are (1, 1920) , (2, 960) , (3, 640) , (4, 480) , (5, 384) , (6, 320) , (8, 240) , (10, 192) , (12, 160) , (15, 128) , (16, 120) , (20, 96) , (24, 80) , (30, 64) , (32, 60) and (40, 48)

How to find factors of a number in pair

Steps to find factors of 1920 in pair

Find all the numbers that would divide 1920 without leaving any remainder. Starting with the number 1 upto 960 (half of 1920). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1920, and read off the answer!

Example: Find factors of 1920 in pair

Factor Pair	Pair Factorization
1 and 1920	1 x 1920 = 1920
2 and 960	2 x 960 = 1920
3 and 640	3 x 640 = 1920
4 and 480	4 x 480 = 1920
5 and 384	5 x 384 = 1920
6 and 320	6 x 320 = 1920
8 and 240	8 x 240 = 1920
10 and 192	10 x 192 = 1920
12 and 160	12 x 160 = 1920
15 and 128	15 x 128 = 1920
16 and 120	16 x 120 = 1920
20 and 96	20 x 96 = 1920
24 and 80	24 x 80 = 1920
30 and 64	30 x 64 = 1920
32 and 60	32 x 60 = 1920
40 and 48	40 x 48 = 1920

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 1920. They are called negative pair factors.

Hence, the negative pairs of 1920 would be ( -1 , -1920 ) .

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 1920 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 128 , 160 , 192 , 240 , 320 , 384 , 480 , 640 , 960 , 1920. So, factors of 1920 in pair are (1,1920), (2,960), (3,640), (4,480), (5,384), (6,320), (8,240), (10,192), (12,160), (15,128), (16,120), (20,96), (24,80), (30,64), (32,60), (40,48).

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. 1920 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1920.
Every number is a factor of zero (0), since 1920 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, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920 are exact divisors of 1920.
Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920. Each factor divides 1920 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, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920 are all less than or equal to 1920.

Steps to find Factors of 1920

Step 1. Find all the numbers that would divide 1920 without leaving any remainder. Starting with the number 1 upto 960 (half of 1920). The number 1 and the number itself are always factors of the given number.

1920 ÷ 1 : Remainder = 0

1920 ÷ 2 : Remainder = 0

1920 ÷ 3 : Remainder = 0

1920 ÷ 4 : Remainder = 0

1920 ÷ 5 : Remainder = 0

1920 ÷ 6 : Remainder = 0

1920 ÷ 8 : Remainder = 0

1920 ÷ 10 : Remainder = 0

1920 ÷ 12 : Remainder = 0

1920 ÷ 15 : Remainder = 0

1920 ÷ 16 : Remainder = 0

1920 ÷ 20 : Remainder = 0

1920 ÷ 24 : Remainder = 0

1920 ÷ 30 : Remainder = 0

1920 ÷ 32 : Remainder = 0

1920 ÷ 40 : Remainder = 0

1920 ÷ 48 : Remainder = 0

1920 ÷ 60 : Remainder = 0

1920 ÷ 64 : Remainder = 0

1920 ÷ 80 : Remainder = 0

1920 ÷ 96 : Remainder = 0

1920 ÷ 120 : Remainder = 0

1920 ÷ 128 : Remainder = 0

1920 ÷ 160 : Remainder = 0

1920 ÷ 192 : Remainder = 0

1920 ÷ 240 : Remainder = 0

1920 ÷ 320 : Remainder = 0

1920 ÷ 384 : Remainder = 0

1920 ÷ 480 : Remainder = 0

1920 ÷ 640 : Remainder = 0

1920 ÷ 960 : Remainder = 0

1920 ÷ 1920 : Remainder = 0

Hence, Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, and 1920

Frequently Asked Questions

Is 1920 a composite number?
Yes 1920 is a composite number.
Is 1920 a prime number?
No 1920 is not a prime number.
What is the mean of factors of 1920?
Factors of 1920 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 128 , 160 , 192 , 240 , 320 , 384 , 480 , 640 , 960 , 1920. therefore mean of factors of 1920 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 64 + 80 + 96 + 120 + 128 + 160 + 192 + 240 + 320 + 384 + 480 + 640 + 960 + 1920) / 32 = 191.25.
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 1920 but she is finding it difficult. Can you help her find out?

Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920. So, factors of 1920 in pair are (1,1920), (2,960), (3,640), (4,480), (5,384), (6,320), (8,240), (10,192), (12,160), (15,128), (16,120), (20,96), (24,80), (30,64), (32,60), (40,48).

Sammy wants to write all the negative factors of 1920 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1920 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -64, -80, -96, -120, -128, -160, -192, -240, -320, -384, -480, -640, -960, -1920. Hence, factors of 1920 in pair are (-1,-1920), (-2,-960), (-3,-640), (-4,-480), (-5,-384), (-6,-320), (-8,-240), (-10,-192), (-12,-160), (-15,-128), (-16,-120), (-20,-96), (-24,-80), (-30,-64), (-32,-60), (-40,-48).

Help Deep in writing the positive factors of 1920 in pair and negative factor of 1920 in pair.

Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920. Positive factors of 1920 in pair are (1,1920), (2,960), (3,640), (4,480), (5,384), (6,320), (8,240), (10,192), (12,160), (15,128), (16,120), (20,96), (24,80), (30,64), (32,60), (40,48). Negative factors of 1920 in pair are (-1,-1920), (-2,-960), (-3,-640), (-4,-480), (-5,-384), (-6,-320), (-8,-240), (-10,-192), (-12,-160), (-15,-128), (-16,-120), (-20,-96), (-24,-80), (-30,-64), (-32,-60), (-40,-48).

Find the product of all factors of 1920.

Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920. So the product of all factors of 1920 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 60 x 64 x 80 x 96 x 120 x 128 x 160 x 192 x 240 x 320 x 384 x 480 x 640 x 960 x 1920 = 3.4105126070941956e+52.

Find the product of all prime factors of 1920.

Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920. Prime factors are 2, 2, 2, 2, 2, 2, 2, 3, 5. So, the product of all prime factors of 1920 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 = 1920.

Can you help Sammy list the factors of 1920 and also find the factor pairs?

Factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920.
Factors of 1920 in pair are (1,1920), (2,960), (3,640), (4,480), (5,384), (6,320), (8,240), (10,192), (12,160), (15,128), (16,120), (20,96), (24,80), (30,64), (32,60), (40,48).

Sammy has 1920 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 1920 blocks in all possible ways to form a rectangle, we need to calculate factors of 1920 in pair. Therefore, factors of 1920 in pair are (1,1920), (2,960), (3,640), (4,480), (5,384), (6,320), (8,240), (10,192), (12,160), (15,128), (16,120), (20,96), (24,80), (30,64), (32,60), (40,48)