# Factors of 5292 in pair

Factors of 5292 in pair are (1, 5292) , (2, 2646) , (3, 1764) , (4, 1323) , (6, 882) , (7, 756) , (9, 588) , (12, 441) , (14, 378) , (18, 294) , (21, 252) , (27, 196) , (28, 189) , (36, 147) , (42, 126) , (49, 108) , (54, 98) and (63, 84)

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

 1.   Steps to find factors of 5292 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 5292 in pair

Factor Pair Pair Factorization
1 and 5292 1 x 5292 = 5292
2 and 2646 2 x 2646 = 5292
3 and 1764 3 x 1764 = 5292
4 and 1323 4 x 1323 = 5292
6 and 882 6 x 882 = 5292
7 and 756 7 x 756 = 5292
9 and 588 9 x 588 = 5292
12 and 441 12 x 441 = 5292
14 and 378 14 x 378 = 5292
18 and 294 18 x 294 = 5292
21 and 252 21 x 252 = 5292
27 and 196 27 x 196 = 5292
28 and 189 28 x 189 = 5292
36 and 147 36 x 147 = 5292
42 and 126 42 x 126 = 5292
49 and 108 49 x 108 = 5292
54 and 98 54 x 98 = 5292
63 and 84 63 x 84 = 5292

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 5292. They are called negative pair factors.

Hence, the negative pairs of 5292 would be ( -1 , -5292 ) .

#### 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 5292 are 1 , 2 , 3 , 4 , 6 , 7 , 9 , 12 , 14 , 18 , 21 , 27 , 28 , 36 , 42 , 49 , 54 , 63 , 84 , 98 , 108 , 126 , 147 , 189 , 196 , 252 , 294 , 378 , 441 , 588 , 756 , 882 , 1323 , 1764 , 2646 , 5292. So, factors of 5292 in pair are (1,5292), (2,2646), (3,1764), (4,1323), (6,882), (7,756), (9,588), (12,441), (14,378), (18,294), (21,252), (27,196), (28,189), (36,147), (42,126), (49,108), (54,98), (63,84).

#### 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. 5292 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 5292.
• Every number is a factor of zero (0), since 5292 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, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292 are exact divisors of 5292.
• Factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292. Each factor divides 5292 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292 are all less than or equal to 5292.

#### Steps to find Factors of 5292

• Step 1. Find all the numbers that would divide 5292 without leaving any remainder. Starting with the number 1 upto 2646 (half of 5292). The number 1 and the number itself are always factors of the given number.
5292 ÷ 1 : Remainder = 0
5292 ÷ 2 : Remainder = 0
5292 ÷ 3 : Remainder = 0
5292 ÷ 4 : Remainder = 0
5292 ÷ 6 : Remainder = 0
5292 ÷ 7 : Remainder = 0
5292 ÷ 9 : Remainder = 0
5292 ÷ 12 : Remainder = 0
5292 ÷ 14 : Remainder = 0
5292 ÷ 18 : Remainder = 0
5292 ÷ 21 : Remainder = 0
5292 ÷ 27 : Remainder = 0
5292 ÷ 28 : Remainder = 0
5292 ÷ 36 : Remainder = 0
5292 ÷ 42 : Remainder = 0
5292 ÷ 49 : Remainder = 0
5292 ÷ 54 : Remainder = 0
5292 ÷ 63 : Remainder = 0
5292 ÷ 84 : Remainder = 0
5292 ÷ 98 : Remainder = 0
5292 ÷ 108 : Remainder = 0
5292 ÷ 126 : Remainder = 0
5292 ÷ 147 : Remainder = 0
5292 ÷ 189 : Remainder = 0
5292 ÷ 196 : Remainder = 0
5292 ÷ 252 : Remainder = 0
5292 ÷ 294 : Remainder = 0
5292 ÷ 378 : Remainder = 0
5292 ÷ 441 : Remainder = 0
5292 ÷ 588 : Remainder = 0
5292 ÷ 756 : Remainder = 0
5292 ÷ 882 : Remainder = 0
5292 ÷ 1323 : Remainder = 0
5292 ÷ 1764 : Remainder = 0
5292 ÷ 2646 : Remainder = 0
5292 ÷ 5292 : Remainder = 0

Hence, Factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, and 5292

• Is 5292 a composite number?

Yes 5292 is a composite number.

• Is 5292 a prime number?

No 5292 is not a prime number.

• What is the mean of factors of 5292?

Factors of 5292 are 1 , 2 , 3 , 4 , 6 , 7 , 9 , 12 , 14 , 18 , 21 , 27 , 28 , 36 , 42 , 49 , 54 , 63 , 84 , 98 , 108 , 126 , 147 , 189 , 196 , 252 , 294 , 378 , 441 , 588 , 756 , 882 , 1323 , 1764 , 2646 , 5292. therefore mean of factors of 5292 is (1 + 2 + 3 + 4 + 6 + 7 + 9 + 12 + 14 + 18 + 21 + 27 + 28 + 36 + 42 + 49 + 54 + 63 + 84 + 98 + 108 + 126 + 147 + 189 + 196 + 252 + 294 + 378 + 441 + 588 + 756 + 882 + 1323 + 1764 + 2646 + 5292) / 36 = 443.33.

• 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

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 5292.
- Writing all prime factors of 5292.
- Writing all the possible factors of 5292 in pair.
Help him in writing all these.

Positive factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292.
Prime factors of 5292 are 2, 2, 3, 3, 3, 7, 7.
Factors of 5292 in pair are (1,5292), (2,2646), (3,1764), (4,1323), (6,882), (7,756), (9,588), (12,441), (14,378), (18,294), (21,252), (27,196), (28,189), (36,147), (42,126), (49,108), (54,98), (63,84).

What are the pair factors of 5292?

Factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292. Hence, the factors of 5292 in pair are (1,5292), (2,2646), (3,1764), (4,1323), (6,882), (7,756), (9,588), (12,441), (14,378), (18,294), (21,252), (27,196), (28,189), (36,147), (42,126), (49,108), (54,98), (63,84).

Can you help Sammy list the factors of 5292 and also find the factor pairs?

Factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292.
Factors of 5292 in pair are (1,5292), (2,2646), (3,1764), (4,1323), (6,882), (7,756), (9,588), (12,441), (14,378), (18,294), (21,252), (27,196), (28,189), (36,147), (42,126), (49,108), (54,98), (63,84).

The area of a rectangle is 5292 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 5292 in pair. So, the possible combinations (1,5292), (2,2646), (3,1764), (4,1323), (6,882), (7,756), (9,588), (12,441), (14,378), (18,294), (21,252), (27,196), (28,189), (36,147), (42,126), (49,108), (54,98), (63,84).

Help Diji in finding factors of 5292 by Prime Factorization method and then sorting factors of 5292 in pairs.

Prime factorization of 5292 is 2 x 2 x 3 x 3 x 3 x 7 x 7. Factors of 5292 in pair can be written as (1,5292), (2,2646), (3,1764), (4,1323), (6,882), (7,756), (9,588), (12,441), (14,378), (18,294), (21,252), (27,196), (28,189), (36,147), (42,126), (49,108), (54,98), (63,84).

Write the smallest prime factor of 5292.

Smallest prime factor of 5292 is 2.

Write the largest prime factor of 5292.

Largest prime factor of 5292 is 7.

Diji wants to write all the negative factors of 5292. Can you help Diji in doing the same?

Negative factors of 5292 are -1, -2, -3, -4, -6, -7, -9, -12, -14, -18, -21, -27, -28, -36, -42, -49, -54, -63, -84, -98, -108, -126, -147, -189, -196, -252, -294, -378, -441, -588, -756, -882, -1323, -1764, -2646, -5292.