Factors of 1980 in pair are (1, 1980) , (2, 990) , (3, 660) , (4, 495) , (5, 396) , (6, 330) , (9, 220) , (10, 198) , (11, 180) , (12, 165) , (15, 132) , (18, 110) , (20, 99) , (22, 90) , (30, 66) , (33, 60) , (36, 55) and (44, 45)

How to find factors of a number in pair

Steps to find factors of 1980 in pair

Example: Find factors of 1980 in pair

Factor Pair Pair Factorization
1 and 1980 1 x 1980 = 1980
2 and 990 2 x 990 = 1980
3 and 660 3 x 660 = 1980
4 and 495 4 x 495 = 1980
5 and 396 5 x 396 = 1980
6 and 330 6 x 330 = 1980
9 and 220 9 x 220 = 1980
10 and 198 10 x 198 = 1980
11 and 180 11 x 180 = 1980
12 and 165 12 x 165 = 1980
15 and 132 15 x 132 = 1980
18 and 110 18 x 110 = 1980
20 and 99 20 x 99 = 1980
22 and 90 22 x 90 = 1980
30 and 66 30 x 66 = 1980
33 and 60 33 x 60 = 1980
36 and 55 36 x 55 = 1980
44 and 45 44 x 45 = 1980

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 1980. They are called negative pair factors.

Hence, the negative pairs of 1980 would be ( -1 , -1980 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 1980 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 11 , 12 , 15 , 18 , 20 , 22 , 30 , 33 , 36 , 44 , 45 , 55 , 60 , 66 , 90 , 99 , 110 , 132 , 165 , 180 , 198 , 220 , 330 , 396 , 495 , 660 , 990 , 1980. So, factors of 1980 in pair are (1,1980), (2,990), (3,660), (4,495), (5,396), (6,330), (9,220), (10,198), (11,180), (12,165), (15,132), (18,110), (20,99), (22,90), (30,66), (33,60), (36,55), (44,45).

What are factors?

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

Properties of Factors

  • Each number is a factor of itself. Eg. 1980 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1980.
  • Every number is a factor of zero (0), since 1980 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, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980 are exact divisors of 1980.
  • Factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980. Each factor divides 1980 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980 are all less than or equal to 1980.

Steps to find Factors of 1980

  • Step 1. Find all the numbers that would divide 1980 without leaving any remainder. Starting with the number 1 upto 990 (half of 1980). The number 1 and the number itself are always factors of the given number.
    1980 ÷ 1 : Remainder = 0
    1980 ÷ 2 : Remainder = 0
    1980 ÷ 3 : Remainder = 0
    1980 ÷ 4 : Remainder = 0
    1980 ÷ 5 : Remainder = 0
    1980 ÷ 6 : Remainder = 0
    1980 ÷ 9 : Remainder = 0
    1980 ÷ 10 : Remainder = 0
    1980 ÷ 11 : Remainder = 0
    1980 ÷ 12 : Remainder = 0
    1980 ÷ 15 : Remainder = 0
    1980 ÷ 18 : Remainder = 0
    1980 ÷ 20 : Remainder = 0
    1980 ÷ 22 : Remainder = 0
    1980 ÷ 30 : Remainder = 0
    1980 ÷ 33 : Remainder = 0
    1980 ÷ 36 : Remainder = 0
    1980 ÷ 44 : Remainder = 0
    1980 ÷ 45 : Remainder = 0
    1980 ÷ 55 : Remainder = 0
    1980 ÷ 60 : Remainder = 0
    1980 ÷ 66 : Remainder = 0
    1980 ÷ 90 : Remainder = 0
    1980 ÷ 99 : Remainder = 0
    1980 ÷ 110 : Remainder = 0
    1980 ÷ 132 : Remainder = 0
    1980 ÷ 165 : Remainder = 0
    1980 ÷ 180 : Remainder = 0
    1980 ÷ 198 : Remainder = 0
    1980 ÷ 220 : Remainder = 0
    1980 ÷ 330 : Remainder = 0
    1980 ÷ 396 : Remainder = 0
    1980 ÷ 495 : Remainder = 0
    1980 ÷ 660 : Remainder = 0
    1980 ÷ 990 : Remainder = 0
    1980 ÷ 1980 : Remainder = 0

Hence, Factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, and 1980

Frequently Asked Questions

  • Is 1980 a composite number?

    Yes 1980 is a composite number.

  • Is 1980 a prime number?

    No 1980 is not a prime number.

  • What is the mean of factors of 1980?

    Factors of 1980 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 11 , 12 , 15 , 18 , 20 , 22 , 30 , 33 , 36 , 44 , 45 , 55 , 60 , 66 , 90 , 99 , 110 , 132 , 165 , 180 , 198 , 220 , 330 , 396 , 495 , 660 , 990 , 1980. therefore mean of factors of 1980 is (1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 30 + 33 + 36 + 44 + 45 + 55 + 60 + 66 + 90 + 99 + 110 + 132 + 165 + 180 + 198 + 220 + 330 + 396 + 495 + 660 + 990 + 1980) / 36 = 182.00.

  • 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 1980.
- Writing all prime factors of 1980.
- Writing all the possible factors of 1980 in pair.
Help him in writing all these.

Positive factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980.
Prime factors of 1980 are 2, 2, 3, 3, 5, 11.
Factors of 1980 in pair are (1,1980), (2,990), (3,660), (4,495), (5,396), (6,330), (9,220), (10,198), (11,180), (12,165), (15,132), (18,110), (20,99), (22,90), (30,66), (33,60), (36,55), (44,45).

What are the pair factors of 1980?

Factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980. Hence, the factors of 1980 in pair are (1,1980), (2,990), (3,660), (4,495), (5,396), (6,330), (9,220), (10,198), (11,180), (12,165), (15,132), (18,110), (20,99), (22,90), (30,66), (33,60), (36,55), (44,45).

Can you help Sammy list the factors of 1980 and also find the factor pairs?

Factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980.
Factors of 1980 in pair are (1,1980), (2,990), (3,660), (4,495), (5,396), (6,330), (9,220), (10,198), (11,180), (12,165), (15,132), (18,110), (20,99), (22,90), (30,66), (33,60), (36,55), (44,45).

The area of a rectangle is 1980 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 1980 in pair. So, the possible combinations (1,1980), (2,990), (3,660), (4,495), (5,396), (6,330), (9,220), (10,198), (11,180), (12,165), (15,132), (18,110), (20,99), (22,90), (30,66), (33,60), (36,55), (44,45).

Help Diji in finding factors of 1980 by Prime Factorization method and then sorting factors of 1980 in pairs.

Prime factorization of 1980 is 2 x 2 x 3 x 3 x 5 x 11. Factors of 1980 in pair can be written as (1,1980), (2,990), (3,660), (4,495), (5,396), (6,330), (9,220), (10,198), (11,180), (12,165), (15,132), (18,110), (20,99), (22,90), (30,66), (33,60), (36,55), (44,45).

Write the smallest prime factor of 1980.

Smallest prime factor of 1980 is 2.

Write the largest prime factor of 1980.

Largest prime factor of 1980 is 11.

Diji wants to write all the negative factors of 1980. Can you help Diji in doing the same?

Negative factors of 1980 are -1, -2, -3, -4, -5, -6, -9, -10, -11, -12, -15, -18, -20, -22, -30, -33, -36, -44, -45, -55, -60, -66, -90, -99, -110, -132, -165, -180, -198, -220, -330, -396, -495, -660, -990, -1980.