Factors of 5184 in pair

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Factors of 5184 in pair are (1, 5184) , (2, 2592) , (3, 1728) , (4, 1296) , (6, 864) , (8, 648) , (9, 576) , (12, 432) , (16, 324) , (18, 288) , (24, 216) , (27, 192) , (32, 162) , (36, 144) , (48, 108) , (54, 96) , (64, 81) and (72, 72)

How to find factors of a number in pair

Steps to find factors of 5184 in pair

Find all the numbers that would divide 5184 without leaving any remainder. Starting with the number 1 upto 2592 (half of 5184). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 5184, and read off the answer!

Example: Find factors of 5184 in pair

Factor Pair	Pair Factorization
1 and 5184	1 x 5184 = 5184
2 and 2592	2 x 2592 = 5184
3 and 1728	3 x 1728 = 5184
4 and 1296	4 x 1296 = 5184
6 and 864	6 x 864 = 5184
8 and 648	8 x 648 = 5184
9 and 576	9 x 576 = 5184
12 and 432	12 x 432 = 5184
16 and 324	16 x 324 = 5184
18 and 288	18 x 288 = 5184
24 and 216	24 x 216 = 5184
27 and 192	27 x 192 = 5184
32 and 162	32 x 162 = 5184
36 and 144	36 x 144 = 5184
48 and 108	48 x 108 = 5184
54 and 96	54 x 96 = 5184
64 and 81	64 x 81 = 5184
72 and 72	72 x 72 = 5184

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 5184. They are called negative pair factors.

Hence, the negative pairs of 5184 would be ( -1 , -5184 ) .

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 5184 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 27 , 32 , 36 , 48 , 54 , 64 , 72 , 81 , 96 , 108 , 144 , 162 , 192 , 216 , 288 , 324 , 432 , 576 , 648 , 864 , 1296 , 1728 , 2592 , 5184. So, factors of 5184 in pair are (1,5184), (2,2592), (3,1728), (4,1296), (6,864), (8,648), (9,576), (12,432), (16,324), (18,288), (24,216), (27,192), (32,162), (36,144), (48,108), (54,96), (64,81), (72,72).

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. 5184 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 5184.
Every number is a factor of zero (0), since 5184 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, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184 are exact divisors of 5184.
Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184. Each factor divides 5184 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, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184 are all less than or equal to 5184.

Steps to find Factors of 5184

Step 1. Find all the numbers that would divide 5184 without leaving any remainder. Starting with the number 1 upto 2592 (half of 5184). The number 1 and the number itself are always factors of the given number.

5184 ÷ 1 : Remainder = 0

5184 ÷ 2 : Remainder = 0

5184 ÷ 3 : Remainder = 0

5184 ÷ 4 : Remainder = 0

5184 ÷ 6 : Remainder = 0

5184 ÷ 8 : Remainder = 0

5184 ÷ 9 : Remainder = 0

5184 ÷ 12 : Remainder = 0

5184 ÷ 16 : Remainder = 0

5184 ÷ 18 : Remainder = 0

5184 ÷ 24 : Remainder = 0

5184 ÷ 27 : Remainder = 0

5184 ÷ 32 : Remainder = 0

5184 ÷ 36 : Remainder = 0

5184 ÷ 48 : Remainder = 0

5184 ÷ 54 : Remainder = 0

5184 ÷ 64 : Remainder = 0

5184 ÷ 72 : Remainder = 0

5184 ÷ 81 : Remainder = 0

5184 ÷ 96 : Remainder = 0

5184 ÷ 108 : Remainder = 0

5184 ÷ 144 : Remainder = 0

5184 ÷ 162 : Remainder = 0

5184 ÷ 192 : Remainder = 0

5184 ÷ 216 : Remainder = 0

5184 ÷ 288 : Remainder = 0

5184 ÷ 324 : Remainder = 0

5184 ÷ 432 : Remainder = 0

5184 ÷ 576 : Remainder = 0

5184 ÷ 648 : Remainder = 0

5184 ÷ 864 : Remainder = 0

5184 ÷ 1296 : Remainder = 0

5184 ÷ 1728 : Remainder = 0

5184 ÷ 2592 : Remainder = 0

5184 ÷ 5184 : Remainder = 0

Hence, Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, and 5184

Frequently Asked Questions

Is 5184 a composite number?
Yes 5184 is a composite number.
Is 5184 a prime number?
No 5184 is not a prime number.
What is the mean of factors of 5184?
Factors of 5184 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 27 , 32 , 36 , 48 , 54 , 64 , 72 , 81 , 96 , 108 , 144 , 162 , 192 , 216 , 288 , 324 , 432 , 576 , 648 , 864 , 1296 , 1728 , 2592 , 5184. therefore mean of factors of 5184 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 32 + 36 + 48 + 54 + 64 + 72 + 81 + 96 + 108 + 144 + 162 + 192 + 216 + 288 + 324 + 432 + 576 + 648 + 864 + 1296 + 1728 + 2592 + 5184) / 35 = 439.06.
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 5184 but she is finding it difficult. Can you help her find out?

Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184. So, factors of 5184 in pair are (1,5184), (2,2592), (3,1728), (4,1296), (6,864), (8,648), (9,576), (12,432), (16,324), (18,288), (24,216), (27,192), (32,162), (36,144), (48,108), (54,96), (64,81), (72,72).

Sammy wants to write all the negative factors of 5184 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 5184 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -64, -72, -81, -96, -108, -144, -162, -192, -216, -288, -324, -432, -576, -648, -864, -1296, -1728, -2592, -5184. Hence, factors of 5184 in pair are (-1,-5184), (-2,-2592), (-3,-1728), (-4,-1296), (-6,-864), (-8,-648), (-9,-576), (-12,-432), (-16,-324), (-18,-288), (-24,-216), (-27,-192), (-32,-162), (-36,-144), (-48,-108), (-54,-96), (-64,-81), (-72,-72).

Help Deep in writing the positive factors of 5184 in pair and negative factor of 5184 in pair.

Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184. Positive factors of 5184 in pair are (1,5184), (2,2592), (3,1728), (4,1296), (6,864), (8,648), (9,576), (12,432), (16,324), (18,288), (24,216), (27,192), (32,162), (36,144), (48,108), (54,96), (64,81), (72,72). Negative factors of 5184 in pair are (-1,-5184), (-2,-2592), (-3,-1728), (-4,-1296), (-6,-864), (-8,-648), (-9,-576), (-12,-432), (-16,-324), (-18,-288), (-24,-216), (-27,-192), (-32,-162), (-36,-144), (-48,-108), (-54,-96), (-64,-81), (-72,-72).

Find the product of all factors of 5184.

Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184. So the product of all factors of 5184 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 16 x 18 x 24 x 27 x 32 x 36 x 48 x 54 x 64 x 72 x 81 x 96 x 108 x 144 x 162 x 192 x 216 x 288 x 324 x 432 x 576 x 648 x 864 x 1296 x 1728 x 2592 x 5184 = 1.0154005050781691e+65.

Find the product of all prime factors of 5184.

Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184. Prime factors are 2, 2, 2, 2, 2, 2, 3, 3, 3, 3. So, the product of all prime factors of 5184 would be 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 = 5184.

Can you help Sammy list the factors of 5184 and also find the factor pairs?

Factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184.
Factors of 5184 in pair are (1,5184), (2,2592), (3,1728), (4,1296), (6,864), (8,648), (9,576), (12,432), (16,324), (18,288), (24,216), (27,192), (32,162), (36,144), (48,108), (54,96), (64,81), (72,72).

Sammy has 5184 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 5184 blocks in all possible ways to form a rectangle, we need to calculate factors of 5184 in pair. Therefore, factors of 5184 in pair are (1,5184), (2,2592), (3,1728), (4,1296), (6,864), (8,648), (9,576), (12,432), (16,324), (18,288), (24,216), (27,192), (32,162), (36,144), (48,108), (54,96), (64,81), (72,72)