Factors of 1188 in pair are (1, 1188) , (2, 594) , (3, 396) , (4, 297) , (6, 198) , (9, 132) , (11, 108) , (12, 99) , (18, 66) , (22, 54) , (27, 44) and (33, 36)

How to find factors of a number in pair

Steps to find factors of 1188 in pair

Example: Find factors of 1188 in pair

Factor Pair Pair Factorization
1 and 1188 1 x 1188 = 1188
2 and 594 2 x 594 = 1188
3 and 396 3 x 396 = 1188
4 and 297 4 x 297 = 1188
6 and 198 6 x 198 = 1188
9 and 132 9 x 132 = 1188
11 and 108 11 x 108 = 1188
12 and 99 12 x 99 = 1188
18 and 66 18 x 66 = 1188
22 and 54 22 x 54 = 1188
27 and 44 27 x 44 = 1188
33 and 36 33 x 36 = 1188

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 1188. They are called negative pair factors.

Hence, the negative pairs of 1188 would be ( -1 , -1188 ) .

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 1188 are 1 , 2 , 3 , 4 , 6 , 9 , 11 , 12 , 18 , 22 , 27 , 33 , 36 , 44 , 54 , 66 , 99 , 108 , 132 , 198 , 297 , 396 , 594 , 1188. So, factors of 1188 in pair are (1,1188), (2,594), (3,396), (4,297), (6,198), (9,132), (11,108), (12,99), (18,66), (22,54), (27,44), (33,36).

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. 1188 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1188.
  • Every number is a factor of zero (0), since 1188 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, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188 are exact divisors of 1188.
  • Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188. Each factor divides 1188 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188 are all less than or equal to 1188.

Steps to find Factors of 1188

  • Step 1. Find all the numbers that would divide 1188 without leaving any remainder. Starting with the number 1 upto 594 (half of 1188). The number 1 and the number itself are always factors of the given number.
    1188 ÷ 1 : Remainder = 0
    1188 ÷ 2 : Remainder = 0
    1188 ÷ 3 : Remainder = 0
    1188 ÷ 4 : Remainder = 0
    1188 ÷ 6 : Remainder = 0
    1188 ÷ 9 : Remainder = 0
    1188 ÷ 11 : Remainder = 0
    1188 ÷ 12 : Remainder = 0
    1188 ÷ 18 : Remainder = 0
    1188 ÷ 22 : Remainder = 0
    1188 ÷ 27 : Remainder = 0
    1188 ÷ 33 : Remainder = 0
    1188 ÷ 36 : Remainder = 0
    1188 ÷ 44 : Remainder = 0
    1188 ÷ 54 : Remainder = 0
    1188 ÷ 66 : Remainder = 0
    1188 ÷ 99 : Remainder = 0
    1188 ÷ 108 : Remainder = 0
    1188 ÷ 132 : Remainder = 0
    1188 ÷ 198 : Remainder = 0
    1188 ÷ 297 : Remainder = 0
    1188 ÷ 396 : Remainder = 0
    1188 ÷ 594 : Remainder = 0
    1188 ÷ 1188 : Remainder = 0

Hence, Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, and 1188

Frequently Asked Questions

  • Is 1188 a composite number?

    Yes 1188 is a composite number.

  • Is 1188 a prime number?

    No 1188 is not a prime number.

  • What is the mean of factors of 1188?

    Factors of 1188 are 1 , 2 , 3 , 4 , 6 , 9 , 11 , 12 , 18 , 22 , 27 , 33 , 36 , 44 , 54 , 66 , 99 , 108 , 132 , 198 , 297 , 396 , 594 , 1188. therefore mean of factors of 1188 is (1 + 2 + 3 + 4 + 6 + 9 + 11 + 12 + 18 + 22 + 27 + 33 + 36 + 44 + 54 + 66 + 99 + 108 + 132 + 198 + 297 + 396 + 594 + 1188) / 24 = 140.00.

  • 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

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1188.
- Writing all prime factors of 1188.
- Writing all the possible factors of 1188 in pair.
Help him in writing all these.

Positive factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.
Prime factors of 1188 are 2, 2, 3, 3, 3, 11.
Factors of 1188 in pair are (1,1188), (2,594), (3,396), (4,297), (6,198), (9,132), (11,108), (12,99), (18,66), (22,54), (27,44), (33,36).

What are the pair factors of 1188?

Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188. Hence, the factors of 1188 in pair are (1,1188), (2,594), (3,396), (4,297), (6,198), (9,132), (11,108), (12,99), (18,66), (22,54), (27,44), (33,36).

Can you help Sammy list the factors of 1188 and also find the factor pairs?

Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.
Factors of 1188 in pair are (1,1188), (2,594), (3,396), (4,297), (6,198), (9,132), (11,108), (12,99), (18,66), (22,54), (27,44), (33,36).

The area of a rectangle is 1188 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 1188 in pair. So, the possible combinations (1,1188), (2,594), (3,396), (4,297), (6,198), (9,132), (11,108), (12,99), (18,66), (22,54), (27,44), (33,36).

Help Diji in finding factors of 1188 by Prime Factorization method and then sorting factors of 1188 in pairs.

Prime factorization of 1188 is 2 x 2 x 3 x 3 x 3 x 11. Factors of 1188 in pair can be written as (1,1188), (2,594), (3,396), (4,297), (6,198), (9,132), (11,108), (12,99), (18,66), (22,54), (27,44), (33,36).

Write the smallest prime factor of 1188.

Smallest prime factor of 1188 is 2.

Write the largest prime factor of 1188.

Largest prime factor of 1188 is 11.

Diji wants to write all the negative factors of 1188. Can you help Diji in doing the same?

Negative factors of 1188 are -1, -2, -3, -4, -6, -9, -11, -12, -18, -22, -27, -33, -36, -44, -54, -66, -99, -108, -132, -198, -297, -396, -594, -1188.