Factors of 2400 in pair

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Factors of 2400 in pair are (1, 2400) , (2, 1200) , (3, 800) , (4, 600) , (5, 480) , (6, 400) , (8, 300) , (10, 240) , (12, 200) , (15, 160) , (16, 150) , (20, 120) , (24, 100) , (25, 96) , (30, 80) , (32, 75) , (40, 60) and (48, 50)

How to find factors of a number in pair

Steps to find factors of 2400 in pair

Find all the numbers that would divide 2400 without leaving any remainder. Starting with the number 1 upto 1200 (half of 2400). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 2400, and read off the answer!

Example: Find factors of 2400 in pair

Factor Pair	Pair Factorization
1 and 2400	1 x 2400 = 2400
2 and 1200	2 x 1200 = 2400
3 and 800	3 x 800 = 2400
4 and 600	4 x 600 = 2400
5 and 480	5 x 480 = 2400
6 and 400	6 x 400 = 2400
8 and 300	8 x 300 = 2400
10 and 240	10 x 240 = 2400
12 and 200	12 x 200 = 2400
15 and 160	15 x 160 = 2400
16 and 150	16 x 150 = 2400
20 and 120	20 x 120 = 2400
24 and 100	24 x 100 = 2400
25 and 96	25 x 96 = 2400
30 and 80	30 x 80 = 2400
32 and 75	32 x 75 = 2400
40 and 60	40 x 60 = 2400
48 and 50	48 x 50 = 2400

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 2400. They are called negative pair factors.

Hence, the negative pairs of 2400 would be ( -1 , -2400 ) .

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 2400 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 150 , 160 , 200 , 240 , 300 , 400 , 480 , 600 , 800 , 1200 , 2400. So, factors of 2400 in pair are (1,2400), (2,1200), (3,800), (4,600), (5,480), (6,400), (8,300), (10,240), (12,200), (15,160), (16,150), (20,120), (24,100), (25,96), (30,80), (32,75), (40,60), (48,50).

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. 2400 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 2400.
Every number is a factor of zero (0), since 2400 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, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400 are exact divisors of 2400.
Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. Each factor divides 2400 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, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400 are all less than or equal to 2400.

Steps to find Factors of 2400

Step 1. Find all the numbers that would divide 2400 without leaving any remainder. Starting with the number 1 upto 1200 (half of 2400). The number 1 and the number itself are always factors of the given number.

2400 ÷ 1 : Remainder = 0

2400 ÷ 2 : Remainder = 0

2400 ÷ 3 : Remainder = 0

2400 ÷ 4 : Remainder = 0

2400 ÷ 5 : Remainder = 0

2400 ÷ 6 : Remainder = 0

2400 ÷ 8 : Remainder = 0

2400 ÷ 10 : Remainder = 0

2400 ÷ 12 : Remainder = 0

2400 ÷ 15 : Remainder = 0

2400 ÷ 16 : Remainder = 0

2400 ÷ 20 : Remainder = 0

2400 ÷ 24 : Remainder = 0

2400 ÷ 25 : Remainder = 0

2400 ÷ 30 : Remainder = 0

2400 ÷ 32 : Remainder = 0

2400 ÷ 40 : Remainder = 0

2400 ÷ 48 : Remainder = 0

2400 ÷ 50 : Remainder = 0

2400 ÷ 60 : Remainder = 0

2400 ÷ 75 : Remainder = 0

2400 ÷ 80 : Remainder = 0

2400 ÷ 96 : Remainder = 0

2400 ÷ 100 : Remainder = 0

2400 ÷ 120 : Remainder = 0

2400 ÷ 150 : Remainder = 0

2400 ÷ 160 : Remainder = 0

2400 ÷ 200 : Remainder = 0

2400 ÷ 240 : Remainder = 0

2400 ÷ 300 : Remainder = 0

2400 ÷ 400 : Remainder = 0

2400 ÷ 480 : Remainder = 0

2400 ÷ 600 : Remainder = 0

2400 ÷ 800 : Remainder = 0

2400 ÷ 1200 : Remainder = 0

2400 ÷ 2400 : Remainder = 0

Hence, Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, and 2400

Frequently Asked Questions

Is 2400 a composite number?
Yes 2400 is a composite number.
Is 2400 a prime number?
No 2400 is not a prime number.
What is the mean of factors of 2400?
Factors of 2400 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 150 , 160 , 200 , 240 , 300 , 400 , 480 , 600 , 800 , 1200 , 2400. therefore mean of factors of 2400 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 75 + 80 + 96 + 100 + 120 + 150 + 160 + 200 + 240 + 300 + 400 + 480 + 600 + 800 + 1200 + 2400) / 36 = 217.00.
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 2400 but she is finding it difficult. Can you help her find out?

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. So, factors of 2400 in pair are (1,2400), (2,1200), (3,800), (4,600), (5,480), (6,400), (8,300), (10,240), (12,200), (15,160), (16,150), (20,120), (24,100), (25,96), (30,80), (32,75), (40,60), (48,50).

Sammy wants to write all the negative factors of 2400 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2400 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -150, -160, -200, -240, -300, -400, -480, -600, -800, -1200, -2400. Hence, factors of 2400 in pair are (-1,-2400), (-2,-1200), (-3,-800), (-4,-600), (-5,-480), (-6,-400), (-8,-300), (-10,-240), (-12,-200), (-15,-160), (-16,-150), (-20,-120), (-24,-100), (-25,-96), (-30,-80), (-32,-75), (-40,-60), (-48,-50).

Help Deep in writing the positive factors of 2400 in pair and negative factor of 2400 in pair.

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. Positive factors of 2400 in pair are (1,2400), (2,1200), (3,800), (4,600), (5,480), (6,400), (8,300), (10,240), (12,200), (15,160), (16,150), (20,120), (24,100), (25,96), (30,80), (32,75), (40,60), (48,50). Negative factors of 2400 in pair are (-1,-2400), (-2,-1200), (-3,-800), (-4,-600), (-5,-480), (-6,-400), (-8,-300), (-10,-240), (-12,-200), (-15,-160), (-16,-150), (-20,-120), (-24,-100), (-25,-96), (-30,-80), (-32,-75), (-40,-60), (-48,-50).

Find the product of all factors of 2400.

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. So the product of all factors of 2400 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 25 x 30 x 32 x 40 x 48 x 50 x 60 x 75 x 80 x 96 x 100 x 120 x 150 x 160 x 200 x 240 x 300 x 400 x 480 x 600 x 800 x 1200 x 2400 = 6.97914707958438e+60.

Find the product of all prime factors of 2400.

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. Prime factors are 2, 2, 2, 2, 2, 3, 5, 5. So, the product of all prime factors of 2400 would be 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 2400.

Can you help Sammy list the factors of 2400 and also find the factor pairs?

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.
Factors of 2400 in pair are (1,2400), (2,1200), (3,800), (4,600), (5,480), (6,400), (8,300), (10,240), (12,200), (15,160), (16,150), (20,120), (24,100), (25,96), (30,80), (32,75), (40,60), (48,50).

Sammy has 2400 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 2400 blocks in all possible ways to form a rectangle, we need to calculate factors of 2400 in pair. Therefore, factors of 2400 in pair are (1,2400), (2,1200), (3,800), (4,600), (5,480), (6,400), (8,300), (10,240), (12,200), (15,160), (16,150), (20,120), (24,100), (25,96), (30,80), (32,75), (40,60), (48,50)