Factors of 660 in pair are (1, 660) , (2, 330) , (3, 220) , (4, 165) , (5, 132) , (6, 110) , (10, 66) , (11, 60) , (12, 55) , (15, 44) , (20, 33) and (22, 30)

How to find factors of a number in pair

Steps to find factors of 660 in pair

Example: Find factors of 660 in pair

Factor Pair Pair Factorization
1 and 660 1 x 660 = 660
2 and 330 2 x 330 = 660
3 and 220 3 x 220 = 660
4 and 165 4 x 165 = 660
5 and 132 5 x 132 = 660
6 and 110 6 x 110 = 660
10 and 66 10 x 66 = 660
11 and 60 11 x 60 = 660
12 and 55 12 x 55 = 660
15 and 44 15 x 44 = 660
20 and 33 20 x 33 = 660
22 and 30 22 x 30 = 660

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 660. They are called negative pair factors.

Hence, the negative pairs of 660 would be ( -1 , -660 ) .

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 660 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 30 , 33 , 44 , 55 , 60 , 66 , 110 , 132 , 165 , 220 , 330 , 660. So, factors of 660 in pair are (1,660), (2,330), (3,220), (4,165), (5,132), (6,110), (10,66), (11,60), (12,55), (15,44), (20,33), (22,30).

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

Steps to find Factors of 660

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

Hence, Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, and 660

Frequently Asked Questions

  • Is 660 a composite number?

    Yes 660 is a composite number.

  • Is 660 a prime number?

    No 660 is not a prime number.

  • What is the mean of factors of 660?

    Factors of 660 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 30 , 33 , 44 , 55 , 60 , 66 , 110 , 132 , 165 , 220 , 330 , 660. therefore mean of factors of 660 is (1 + 2 + 3 + 4 + 5 + 6 + 10 + 11 + 12 + 15 + 20 + 22 + 30 + 33 + 44 + 55 + 60 + 66 + 110 + 132 + 165 + 220 + 330 + 660) / 24 = 84.00.

  • 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 660.
- Writing all prime factors of 660.
- Writing all the possible factors of 660 in pair.
Help him in writing all these.

Positive factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
Prime factors of 660 are 2, 2, 3, 5, 11.
Factors of 660 in pair are (1,660), (2,330), (3,220), (4,165), (5,132), (6,110), (10,66), (11,60), (12,55), (15,44), (20,33), (22,30).

What are the pair factors of 660?

Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. Hence, the factors of 660 in pair are (1,660), (2,330), (3,220), (4,165), (5,132), (6,110), (10,66), (11,60), (12,55), (15,44), (20,33), (22,30).

Can you help Sammy list the factors of 660 and also find the factor pairs?

Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
Factors of 660 in pair are (1,660), (2,330), (3,220), (4,165), (5,132), (6,110), (10,66), (11,60), (12,55), (15,44), (20,33), (22,30).

The area of a rectangle is 660 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 660 in pair. So, the possible combinations (1,660), (2,330), (3,220), (4,165), (5,132), (6,110), (10,66), (11,60), (12,55), (15,44), (20,33), (22,30).

Help Diji in finding factors of 660 by Prime Factorization method and then sorting factors of 660 in pairs.

Prime factorization of 660 is 2 x 2 x 3 x 5 x 11. Factors of 660 in pair can be written as (1,660), (2,330), (3,220), (4,165), (5,132), (6,110), (10,66), (11,60), (12,55), (15,44), (20,33), (22,30).

Write the smallest prime factor of 660.

Smallest prime factor of 660 is 2.

Write the largest prime factor of 660.

Largest prime factor of 660 is 11.

Diji wants to write all the negative factors of 660. Can you help Diji in doing the same?

Negative factors of 660 are -1, -2, -3, -4, -5, -6, -10, -11, -12, -15, -20, -22, -30, -33, -44, -55, -60, -66, -110, -132, -165, -220, -330, -660.