Factors of 1344 in pair

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

How to find factors of a number in pair

Steps to find factors of 1344 in pair

Find all the numbers that would divide 1344 without leaving any remainder. Starting with the number 1 upto 672 (half of 1344). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1344, and read off the answer!

Example: Find factors of 1344 in pair

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

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 1344. They are called negative pair factors.

Hence, the negative pairs of 1344 would be ( -1 , -1344 ) .

What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 1344 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 12 , 14 , 16 , 21 , 24 , 28 , 32 , 42 , 48 , 56 , 64 , 84 , 96 , 112 , 168 , 192 , 224 , 336 , 448 , 672 , 1344. So, factors of 1344 in pair are (1,1344), (2,672), (3,448), (4,336), (6,224), (7,192), (8,168), (12,112), (14,96), (16,84), (21,64), (24,56), (28,48), (32,42).

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

Each number is a factor of itself. Eg. 1344 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1344.
Every number is a factor of zero (0), since 1344 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, 168, 192, 224, 336, 448, 672, 1344 are exact divisors of 1344.
Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. Each factor divides 1344 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, 168, 192, 224, 336, 448, 672, 1344 are all less than or equal to 1344.

Steps to find Factors of 1344

Step 1. Find all the numbers that would divide 1344 without leaving any remainder. Starting with the number 1 upto 672 (half of 1344). The number 1 and the number itself are always factors of the given number.

1344 ÷ 1 : Remainder = 0

1344 ÷ 2 : Remainder = 0

1344 ÷ 3 : Remainder = 0

1344 ÷ 4 : Remainder = 0

1344 ÷ 6 : Remainder = 0

1344 ÷ 7 : Remainder = 0

1344 ÷ 8 : Remainder = 0

1344 ÷ 12 : Remainder = 0

1344 ÷ 14 : Remainder = 0

1344 ÷ 16 : Remainder = 0

1344 ÷ 21 : Remainder = 0

1344 ÷ 24 : Remainder = 0

1344 ÷ 28 : Remainder = 0

1344 ÷ 32 : Remainder = 0

1344 ÷ 42 : Remainder = 0

1344 ÷ 48 : Remainder = 0

1344 ÷ 56 : Remainder = 0

1344 ÷ 64 : Remainder = 0

1344 ÷ 84 : Remainder = 0

1344 ÷ 96 : Remainder = 0

1344 ÷ 112 : Remainder = 0

1344 ÷ 168 : Remainder = 0

1344 ÷ 192 : Remainder = 0

1344 ÷ 224 : Remainder = 0

1344 ÷ 336 : Remainder = 0

1344 ÷ 448 : Remainder = 0

1344 ÷ 672 : Remainder = 0

1344 ÷ 1344 : Remainder = 0

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

Frequently Asked Questions

Is 1344 a composite number?
Yes 1344 is a composite number.
Is 1344 a prime number?
No 1344 is not a prime number.
What is the mean of factors of 1344?
Factors of 1344 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 12 , 14 , 16 , 21 , 24 , 28 , 32 , 42 , 48 , 56 , 64 , 84 , 96 , 112 , 168 , 192 , 224 , 336 , 448 , 672 , 1344. therefore mean of factors of 1344 is (1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 24 + 28 + 32 + 42 + 48 + 56 + 64 + 84 + 96 + 112 + 168 + 192 + 224 + 336 + 448 + 672 + 1344) / 28 = 145.14.
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 1344 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 1344 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 1344 in pair and negative factor of 1344 in pair.

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

Find the product of all factors of 1344.

Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. So the product of all factors of 1344 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 168 x 192 x 224 x 336 x 448 x 672 x 1344 = 6.274653701100475e+43.

Find the product of all prime factors of 1344.

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

Can you help Sammy list the factors of 1344 and also find the factor pairs?

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

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