Factors of 1152 in pair

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Factors of 1152 in pair are (1, 1152) , (2, 576) , (3, 384) , (4, 288) , (6, 192) , (8, 144) , (9, 128) , (12, 96) , (16, 72) , (18, 64) , (24, 48) and (32, 36)

How to find factors of a number in pair

Steps to find factors of 1152 in pair

Find all the numbers that would divide 1152 without leaving any remainder. Starting with the number 1 upto 576 (half of 1152). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1152, and read off the answer!

Example: Find factors of 1152 in pair

Factor Pair	Pair Factorization
1 and 1152	1 x 1152 = 1152
2 and 576	2 x 576 = 1152
3 and 384	3 x 384 = 1152
4 and 288	4 x 288 = 1152
6 and 192	6 x 192 = 1152
8 and 144	8 x 144 = 1152
9 and 128	9 x 128 = 1152
12 and 96	12 x 96 = 1152
16 and 72	16 x 72 = 1152
18 and 64	18 x 64 = 1152
24 and 48	24 x 48 = 1152
32 and 36	32 x 36 = 1152

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 1152. They are called negative pair factors.

Hence, the negative pairs of 1152 would be ( -1 , -1152 ) .

How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 1152 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 128 , 144 , 192 , 288 , 384 , 576 , 1152. So, factors of 1152 in pair are (1,1152), (2,576), (3,384), (4,288), (6,192), (8,144), (9,128), (12,96), (16,72), (18,64), (24,48), (32,36).

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 1152 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1152.
Every number is a factor of zero (0), since 1152 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, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152 are exact divisors of 1152.
Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. Each factor divides 1152 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152 are all less than or equal to 1152.

Steps to find Factors of 1152

Step 1. Find all the numbers that would divide 1152 without leaving any remainder. Starting with the number 1 upto 576 (half of 1152). The number 1 and the number itself are always factors of the given number.

1152 ÷ 1 : Remainder = 0

1152 ÷ 2 : Remainder = 0

1152 ÷ 3 : Remainder = 0

1152 ÷ 4 : Remainder = 0

1152 ÷ 6 : Remainder = 0

1152 ÷ 8 : Remainder = 0

1152 ÷ 9 : Remainder = 0

1152 ÷ 12 : Remainder = 0

1152 ÷ 16 : Remainder = 0

1152 ÷ 18 : Remainder = 0

1152 ÷ 24 : Remainder = 0

1152 ÷ 32 : Remainder = 0

1152 ÷ 36 : Remainder = 0

1152 ÷ 48 : Remainder = 0

1152 ÷ 64 : Remainder = 0

1152 ÷ 72 : Remainder = 0

1152 ÷ 96 : Remainder = 0

1152 ÷ 128 : Remainder = 0

1152 ÷ 144 : Remainder = 0

1152 ÷ 192 : Remainder = 0

1152 ÷ 288 : Remainder = 0

1152 ÷ 384 : Remainder = 0

1152 ÷ 576 : Remainder = 0

1152 ÷ 1152 : Remainder = 0

Hence, Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, and 1152

Frequently Asked Questions

Is 1152 a composite number?
Yes 1152 is a composite number.
Is 1152 a prime number?
No 1152 is not a prime number.
What is the mean of factors of 1152?
Factors of 1152 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 128 , 144 , 192 , 288 , 384 , 576 , 1152. therefore mean of factors of 1152 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 64 + 72 + 96 + 128 + 144 + 192 + 288 + 384 + 576 + 1152) / 24 = 138.13.
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 1152 but she is finding it difficult. Can you help her find out?

Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. So, factors of 1152 in pair are (1,1152), (2,576), (3,384), (4,288), (6,192), (8,144), (9,128), (12,96), (16,72), (18,64), (24,48), (32,36).

Sammy wants to write all the negative factors of 1152 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1152 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -128, -144, -192, -288, -384, -576, -1152. Hence, factors of 1152 in pair are (-1,-1152), (-2,-576), (-3,-384), (-4,-288), (-6,-192), (-8,-144), (-9,-128), (-12,-96), (-16,-72), (-18,-64), (-24,-48), (-32,-36).

Help Deep in writing the positive factors of 1152 in pair and negative factor of 1152 in pair.

Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. Positive factors of 1152 in pair are (1,1152), (2,576), (3,384), (4,288), (6,192), (8,144), (9,128), (12,96), (16,72), (18,64), (24,48), (32,36). Negative factors of 1152 in pair are (-1,-1152), (-2,-576), (-3,-384), (-4,-288), (-6,-192), (-8,-144), (-9,-128), (-12,-96), (-16,-72), (-18,-64), (-24,-48), (-32,-36).

Find the product of all factors of 1152.

Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. So the product of all factors of 1152 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 16 x 18 x 24 x 32 x 36 x 48 x 64 x 72 x 96 x 128 x 144 x 192 x 288 x 384 x 576 x 1152 = 5.462981741978764e+36.

Find the product of all prime factors of 1152.

Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. Prime factors are 2, 2, 2, 2, 2, 2, 2, 3, 3. So, the product of all prime factors of 1152 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = 1152.

Can you help Sammy list the factors of 1152 and also find the factor pairs?

Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152.
Factors of 1152 in pair are (1,1152), (2,576), (3,384), (4,288), (6,192), (8,144), (9,128), (12,96), (16,72), (18,64), (24,48), (32,36).

Sammy has 1152 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 1152 blocks in all possible ways to form a rectangle, we need to calculate factors of 1152 in pair. Therefore, factors of 1152 in pair are (1,1152), (2,576), (3,384), (4,288), (6,192), (8,144), (9,128), (12,96), (16,72), (18,64), (24,48), (32,36)