# Factors of 2688 in pair

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

#### How to find factors of a number in pair

 1.   Steps to find factors of 2688 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 2688 in pair

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

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 2688. They are called negative pair factors.

Hence, the negative pairs of 2688 would be ( -1 , -2688 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 2688 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 , 336 , 384 , 448 , 672 , 896 , 1344 , 2688. So, factors of 2688 in pair are (1,2688), (2,1344), (3,896), (4,672), (6,448), (7,384), (8,336), (12,224), (14,192), (16,168), (21,128), (24,112), (28,96), (32,84), (42,64), (48,56).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 2688 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2688.
• Every number is a factor of zero (0), since 2688 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, 336, 384, 448, 672, 896, 1344, 2688 are exact divisors of 2688.
• Factors of 2688 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, 336, 384, 448, 672, 896, 1344, 2688. Each factor divides 2688 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, 336, 384, 448, 672, 896, 1344, 2688 are all less than or equal to 2688.

#### Steps to find Factors of 2688

• Step 1. Find all the numbers that would divide 2688 without leaving any remainder. Starting with the number 1 upto 1344 (half of 2688). The number 1 and the number itself are always factors of the given number.
2688 ÷ 1 : Remainder = 0
2688 ÷ 2 : Remainder = 0
2688 ÷ 3 : Remainder = 0
2688 ÷ 4 : Remainder = 0
2688 ÷ 6 : Remainder = 0
2688 ÷ 7 : Remainder = 0
2688 ÷ 8 : Remainder = 0
2688 ÷ 12 : Remainder = 0
2688 ÷ 14 : Remainder = 0
2688 ÷ 16 : Remainder = 0
2688 ÷ 21 : Remainder = 0
2688 ÷ 24 : Remainder = 0
2688 ÷ 28 : Remainder = 0
2688 ÷ 32 : Remainder = 0
2688 ÷ 42 : Remainder = 0
2688 ÷ 48 : Remainder = 0
2688 ÷ 56 : Remainder = 0
2688 ÷ 64 : Remainder = 0
2688 ÷ 84 : Remainder = 0
2688 ÷ 96 : Remainder = 0
2688 ÷ 112 : Remainder = 0
2688 ÷ 128 : Remainder = 0
2688 ÷ 168 : Remainder = 0
2688 ÷ 192 : Remainder = 0
2688 ÷ 224 : Remainder = 0
2688 ÷ 336 : Remainder = 0
2688 ÷ 384 : Remainder = 0
2688 ÷ 448 : Remainder = 0
2688 ÷ 672 : Remainder = 0
2688 ÷ 896 : Remainder = 0
2688 ÷ 1344 : Remainder = 0
2688 ÷ 2688 : Remainder = 0

Hence, Factors of 2688 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, 336, 384, 448, 672, 896, 1344, and 2688

• Is 2688 a composite number?

Yes 2688 is a composite number.

• Is 2688 a prime number?

No 2688 is not a prime number.

• What is the mean of factors of 2688?

Factors of 2688 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 , 336 , 384 , 448 , 672 , 896 , 1344 , 2688. therefore mean of factors of 2688 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 + 336 + 384 + 448 + 672 + 896 + 1344 + 2688) / 32 = 255.00.

• 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 2688 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 2688 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 2688 in pair and negative factor of 2688 in pair.

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

Find the product of all factors of 2688.

Factors of 2688 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, 336, 384, 448, 672, 896, 1344, 2688. So the product of all factors of 2688 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 336 x 384 x 448 x 672 x 896 x 1344 x 2688 = 7.427937316261745e+54.

Find the product of all prime factors of 2688.

Factors of 2688 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, 336, 384, 448, 672, 896, 1344, 2688. Prime factors are 2, 2, 2, 2, 2, 2, 2, 3, 7. So, the product of all prime factors of 2688 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 = 2688.

Can you help Sammy list the factors of 2688 and also find the factor pairs?

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

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