Factors of 5376 in pair

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Factors of 5376 in pair are (1, 5376) , (2, 2688) , (3, 1792) , (4, 1344) , (6, 896) , (7, 768) , (8, 672) , (12, 448) , (14, 384) , (16, 336) , (21, 256) , (24, 224) , (28, 192) , (32, 168) , (42, 128) , (48, 112) , (56, 96) and (64, 84)

How to find factors of a number in pair

Steps to find factors of 5376 in pair

Find all the numbers that would divide 5376 without leaving any remainder. Starting with the number 1 upto 2688 (half of 5376). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 5376, and read off the answer!

Example: Find factors of 5376 in pair

Factor Pair	Pair Factorization
1 and 5376	1 x 5376 = 5376
2 and 2688	2 x 2688 = 5376
3 and 1792	3 x 1792 = 5376
4 and 1344	4 x 1344 = 5376
6 and 896	6 x 896 = 5376
7 and 768	7 x 768 = 5376
8 and 672	8 x 672 = 5376
12 and 448	12 x 448 = 5376
14 and 384	14 x 384 = 5376
16 and 336	16 x 336 = 5376
21 and 256	21 x 256 = 5376
24 and 224	24 x 224 = 5376
28 and 192	28 x 192 = 5376
32 and 168	32 x 168 = 5376
42 and 128	42 x 128 = 5376
48 and 112	48 x 112 = 5376
56 and 96	56 x 96 = 5376
64 and 84	64 x 84 = 5376

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 5376. They are called negative pair factors.

Hence, the negative pairs of 5376 would be ( -1 , -5376 ) .

Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 5376 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 12 , 14 , 16 , 21 , 24 , 28 , 32 , 42 , 48 , 56 , 64 , 84 , 96 , 112 , 128 , 168 , 192 , 224 , 256 , 336 , 384 , 448 , 672 , 768 , 896 , 1344 , 1792 , 2688 , 5376. So, factors of 5376 in pair are (1,5376), (2,2688), (3,1792), (4,1344), (6,896), (7,768), (8,672), (12,448), (14,384), (16,336), (21,256), (24,224), (28,192), (32,168), (42,128), (48,112), (56,96), (64,84).

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 5376 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 5376.
Every number is a factor of zero (0), since 5376 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, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376 are exact divisors of 5376.
Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. Each factor divides 5376 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376 are all less than or equal to 5376.

Steps to find Factors of 5376

Step 1. Find all the numbers that would divide 5376 without leaving any remainder. Starting with the number 1 upto 2688 (half of 5376). The number 1 and the number itself are always factors of the given number.

5376 ÷ 1 : Remainder = 0

5376 ÷ 2 : Remainder = 0

5376 ÷ 3 : Remainder = 0

5376 ÷ 4 : Remainder = 0

5376 ÷ 6 : Remainder = 0

5376 ÷ 7 : Remainder = 0

5376 ÷ 8 : Remainder = 0

5376 ÷ 12 : Remainder = 0

5376 ÷ 14 : Remainder = 0

5376 ÷ 16 : Remainder = 0

5376 ÷ 21 : Remainder = 0

5376 ÷ 24 : Remainder = 0

5376 ÷ 28 : Remainder = 0

5376 ÷ 32 : Remainder = 0

5376 ÷ 42 : Remainder = 0

5376 ÷ 48 : Remainder = 0

5376 ÷ 56 : Remainder = 0

5376 ÷ 64 : Remainder = 0

5376 ÷ 84 : Remainder = 0

5376 ÷ 96 : Remainder = 0

5376 ÷ 112 : Remainder = 0

5376 ÷ 128 : Remainder = 0

5376 ÷ 168 : Remainder = 0

5376 ÷ 192 : Remainder = 0

5376 ÷ 224 : Remainder = 0

5376 ÷ 256 : Remainder = 0

5376 ÷ 336 : Remainder = 0

5376 ÷ 384 : Remainder = 0

5376 ÷ 448 : Remainder = 0

5376 ÷ 672 : Remainder = 0

5376 ÷ 768 : Remainder = 0

5376 ÷ 896 : Remainder = 0

5376 ÷ 1344 : Remainder = 0

5376 ÷ 1792 : Remainder = 0

5376 ÷ 2688 : Remainder = 0

5376 ÷ 5376 : Remainder = 0

Hence, Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, and 5376

Frequently Asked Questions

Is 5376 a composite number?
Yes 5376 is a composite number.
Is 5376 a prime number?
No 5376 is not a prime number.
What is the mean of factors of 5376?
Factors of 5376 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 12 , 14 , 16 , 21 , 24 , 28 , 32 , 42 , 48 , 56 , 64 , 84 , 96 , 112 , 128 , 168 , 192 , 224 , 256 , 336 , 384 , 448 , 672 , 768 , 896 , 1344 , 1792 , 2688 , 5376. therefore mean of factors of 5376 is (1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 24 + 28 + 32 + 42 + 48 + 56 + 64 + 84 + 96 + 112 + 128 + 168 + 192 + 224 + 256 + 336 + 384 + 448 + 672 + 768 + 896 + 1344 + 1792 + 2688 + 5376) / 36 = 454.22.
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 5376 but she is finding it difficult. Can you help her find out?

Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. So, factors of 5376 in pair are (1,5376), (2,2688), (3,1792), (4,1344), (6,896), (7,768), (8,672), (12,448), (14,384), (16,336), (21,256), (24,224), (28,192), (32,168), (42,128), (48,112), (56,96), (64,84).

Sammy wants to write all the negative factors of 5376 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 5376 are -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -32, -42, -48, -56, -64, -84, -96, -112, -128, -168, -192, -224, -256, -336, -384, -448, -672, -768, -896, -1344, -1792, -2688, -5376. Hence, factors of 5376 in pair are (-1,-5376), (-2,-2688), (-3,-1792), (-4,-1344), (-6,-896), (-7,-768), (-8,-672), (-12,-448), (-14,-384), (-16,-336), (-21,-256), (-24,-224), (-28,-192), (-32,-168), (-42,-128), (-48,-112), (-56,-96), (-64,-84).

Help Deep in writing the positive factors of 5376 in pair and negative factor of 5376 in pair.

Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. Positive factors of 5376 in pair are (1,5376), (2,2688), (3,1792), (4,1344), (6,896), (7,768), (8,672), (12,448), (14,384), (16,336), (21,256), (24,224), (28,192), (32,168), (42,128), (48,112), (56,96), (64,84). Negative factors of 5376 in pair are (-1,-5376), (-2,-2688), (-3,-1792), (-4,-1344), (-6,-896), (-7,-768), (-8,-672), (-12,-448), (-14,-384), (-16,-336), (-21,-256), (-24,-224), (-28,-192), (-32,-168), (-42,-128), (-48,-112), (-56,-96), (-64,-84).

Find the product of all factors of 5376.

Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. So the product of all factors of 5376 would be 1 x 2 x 3 x 4 x 6 x 7 x 8 x 12 x 14 x 16 x 21 x 24 x 28 x 32 x 42 x 48 x 56 x 64 x 84 x 96 x 112 x 128 x 168 x 192 x 224 x 256 x 336 x 384 x 448 x 672 x 768 x 896 x 1344 x 1792 x 2688 x 5376 = 1.4069111801886247e+67.

Find the product of all prime factors of 5376.

Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2, 3, 7. So, the product of all prime factors of 5376 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 = 5376.

Can you help Sammy list the factors of 5376 and also find the factor pairs?

Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376.
Factors of 5376 in pair are (1,5376), (2,2688), (3,1792), (4,1344), (6,896), (7,768), (8,672), (12,448), (14,384), (16,336), (21,256), (24,224), (28,192), (32,168), (42,128), (48,112), (56,96), (64,84).

Sammy has 5376 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 5376 blocks in all possible ways to form a rectangle, we need to calculate factors of 5376 in pair. Therefore, factors of 5376 in pair are (1,5376), (2,2688), (3,1792), (4,1344), (6,896), (7,768), (8,672), (12,448), (14,384), (16,336), (21,256), (24,224), (28,192), (32,168), (42,128), (48,112), (56,96), (64,84)