Factors of 1440 in pair

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Factors of 1440 in pair are (1, 1440) , (2, 720) , (3, 480) , (4, 360) , (5, 288) , (6, 240) , (8, 180) , (9, 160) , (10, 144) , (12, 120) , (15, 96) , (16, 90) , (18, 80) , (20, 72) , (24, 60) , (30, 48) , (32, 45) and (36, 40)

How to find factors of a number in pair

Steps to find factors of 1440 in pair

Find all the numbers that would divide 1440 without leaving any remainder. Starting with the number 1 upto 720 (half of 1440). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1440, and read off the answer!

Example: Find factors of 1440 in pair

Factor Pair	Pair Factorization
1 and 1440	1 x 1440 = 1440
2 and 720	2 x 720 = 1440
3 and 480	3 x 480 = 1440
4 and 360	4 x 360 = 1440
5 and 288	5 x 288 = 1440
6 and 240	6 x 240 = 1440
8 and 180	8 x 180 = 1440
9 and 160	9 x 160 = 1440
10 and 144	10 x 144 = 1440
12 and 120	12 x 120 = 1440
15 and 96	15 x 96 = 1440
16 and 90	16 x 90 = 1440
18 and 80	18 x 80 = 1440
20 and 72	20 x 72 = 1440
24 and 60	24 x 60 = 1440
30 and 48	30 x 48 = 1440
32 and 45	32 x 45 = 1440
36 and 40	36 x 40 = 1440

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 1440. They are called negative pair factors.

Hence, the negative pairs of 1440 would be ( -1 , -1440 ) .

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 1440 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 30 , 32 , 36 , 40 , 45 , 48 , 60 , 72 , 80 , 90 , 96 , 120 , 144 , 160 , 180 , 240 , 288 , 360 , 480 , 720 , 1440. So, factors of 1440 in pair are (1,1440), (2,720), (3,480), (4,360), (5,288), (6,240), (8,180), (9,160), (10,144), (12,120), (15,96), (16,90), (18,80), (20,72), (24,60), (30,48), (32,45), (36,40).

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. 1440 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1440.
Every number is a factor of zero (0), since 1440 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, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440 are exact divisors of 1440.
Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. Each factor divides 1440 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, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440 are all less than or equal to 1440.

Steps to find Factors of 1440

Step 1. Find all the numbers that would divide 1440 without leaving any remainder. Starting with the number 1 upto 720 (half of 1440). The number 1 and the number itself are always factors of the given number.

1440 ÷ 1 : Remainder = 0

1440 ÷ 2 : Remainder = 0

1440 ÷ 3 : Remainder = 0

1440 ÷ 4 : Remainder = 0

1440 ÷ 5 : Remainder = 0

1440 ÷ 6 : Remainder = 0

1440 ÷ 8 : Remainder = 0

1440 ÷ 9 : Remainder = 0

1440 ÷ 10 : Remainder = 0

1440 ÷ 12 : Remainder = 0

1440 ÷ 15 : Remainder = 0

1440 ÷ 16 : Remainder = 0

1440 ÷ 18 : Remainder = 0

1440 ÷ 20 : Remainder = 0

1440 ÷ 24 : Remainder = 0

1440 ÷ 30 : Remainder = 0

1440 ÷ 32 : Remainder = 0

1440 ÷ 36 : Remainder = 0

1440 ÷ 40 : Remainder = 0

1440 ÷ 45 : Remainder = 0

1440 ÷ 48 : Remainder = 0

1440 ÷ 60 : Remainder = 0

1440 ÷ 72 : Remainder = 0

1440 ÷ 80 : Remainder = 0

1440 ÷ 90 : Remainder = 0

1440 ÷ 96 : Remainder = 0

1440 ÷ 120 : Remainder = 0

1440 ÷ 144 : Remainder = 0

1440 ÷ 160 : Remainder = 0

1440 ÷ 180 : Remainder = 0

1440 ÷ 240 : Remainder = 0

1440 ÷ 288 : Remainder = 0

1440 ÷ 360 : Remainder = 0

1440 ÷ 480 : Remainder = 0

1440 ÷ 720 : Remainder = 0

1440 ÷ 1440 : Remainder = 0

Hence, Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, and 1440

Frequently Asked Questions

Is 1440 a composite number?
Yes 1440 is a composite number.
Is 1440 a prime number?
No 1440 is not a prime number.
What is the mean of factors of 1440?
Factors of 1440 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 30 , 32 , 36 , 40 , 45 , 48 , 60 , 72 , 80 , 90 , 96 , 120 , 144 , 160 , 180 , 240 , 288 , 360 , 480 , 720 , 1440. therefore mean of factors of 1440 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 72 + 80 + 90 + 96 + 120 + 144 + 160 + 180 + 240 + 288 + 360 + 480 + 720 + 1440) / 36 = 136.50.
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 1440 but she is finding it difficult. Can you help her find out?

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. So, factors of 1440 in pair are (1,1440), (2,720), (3,480), (4,360), (5,288), (6,240), (8,180), (9,160), (10,144), (12,120), (15,96), (16,90), (18,80), (20,72), (24,60), (30,48), (32,45), (36,40).

Sammy wants to write all the negative factors of 1440 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1440 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -32, -36, -40, -45, -48, -60, -72, -80, -90, -96, -120, -144, -160, -180, -240, -288, -360, -480, -720, -1440. Hence, factors of 1440 in pair are (-1,-1440), (-2,-720), (-3,-480), (-4,-360), (-5,-288), (-6,-240), (-8,-180), (-9,-160), (-10,-144), (-12,-120), (-15,-96), (-16,-90), (-18,-80), (-20,-72), (-24,-60), (-30,-48), (-32,-45), (-36,-40).

Help Deep in writing the positive factors of 1440 in pair and negative factor of 1440 in pair.

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. Positive factors of 1440 in pair are (1,1440), (2,720), (3,480), (4,360), (5,288), (6,240), (8,180), (9,160), (10,144), (12,120), (15,96), (16,90), (18,80), (20,72), (24,60), (30,48), (32,45), (36,40). Negative factors of 1440 in pair are (-1,-1440), (-2,-720), (-3,-480), (-4,-360), (-5,-288), (-6,-240), (-8,-180), (-9,-160), (-10,-144), (-12,-120), (-15,-96), (-16,-90), (-18,-80), (-20,-72), (-24,-60), (-30,-48), (-32,-45), (-36,-40).

Find the product of all factors of 1440.

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. So the product of all factors of 1440 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 30 x 32 x 36 x 40 x 45 x 48 x 60 x 72 x 80 x 90 x 96 x 120 x 144 x 160 x 180 x 240 x 288 x 360 x 480 x 720 x 1440 = 7.088018749850921e+56.

Find the product of all prime factors of 1440.

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. Prime factors are 2, 2, 2, 2, 2, 3, 3, 5. So, the product of all prime factors of 1440 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 1440.

Can you help Sammy list the factors of 1440 and also find the factor pairs?

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.
Factors of 1440 in pair are (1,1440), (2,720), (3,480), (4,360), (5,288), (6,240), (8,180), (9,160), (10,144), (12,120), (15,96), (16,90), (18,80), (20,72), (24,60), (30,48), (32,45), (36,40).

Sammy has 1440 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 1440 blocks in all possible ways to form a rectangle, we need to calculate factors of 1440 in pair. Therefore, factors of 1440 in pair are (1,1440), (2,720), (3,480), (4,360), (5,288), (6,240), (8,180), (9,160), (10,144), (12,120), (15,96), (16,90), (18,80), (20,72), (24,60), (30,48), (32,45), (36,40)