Factors of 3300 in pair are (1, 3300) , (2, 1650) , (3, 1100) , (4, 825) , (5, 660) , (6, 550) , (10, 330) , (11, 300) , (12, 275) , (15, 220) , (20, 165) , (22, 150) , (25, 132) , (30, 110) , (33, 100) , (44, 75) , (50, 66) and (55, 60)

How to find factors of a number in pair

Steps to find factors of 3300 in pair

Example: Find factors of 3300 in pair

Factor Pair Pair Factorization
1 and 3300 1 x 3300 = 3300
2 and 1650 2 x 1650 = 3300
3 and 1100 3 x 1100 = 3300
4 and 825 4 x 825 = 3300
5 and 660 5 x 660 = 3300
6 and 550 6 x 550 = 3300
10 and 330 10 x 330 = 3300
11 and 300 11 x 300 = 3300
12 and 275 12 x 275 = 3300
15 and 220 15 x 220 = 3300
20 and 165 20 x 165 = 3300
22 and 150 22 x 150 = 3300
25 and 132 25 x 132 = 3300
30 and 110 30 x 110 = 3300
33 and 100 33 x 100 = 3300
44 and 75 44 x 75 = 3300
50 and 66 50 x 66 = 3300
55 and 60 55 x 60 = 3300

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 3300. They are called negative pair factors.

Hence, the negative pairs of 3300 would be ( -1 , -3300 ) .

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 3300 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 25 , 30 , 33 , 44 , 50 , 55 , 60 , 66 , 75 , 100 , 110 , 132 , 150 , 165 , 220 , 275 , 300 , 330 , 550 , 660 , 825 , 1100 , 1650 , 3300. So, factors of 3300 in pair are (1,3300), (2,1650), (3,1100), (4,825), (5,660), (6,550), (10,330), (11,300), (12,275), (15,220), (20,165), (22,150), (25,132), (30,110), (33,100), (44,75), (50,66), (55,60).

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. 3300 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3300.
  • Every number is a factor of zero (0), since 3300 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, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300 are exact divisors of 3300.
  • Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. Each factor divides 3300 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, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300 are all less than or equal to 3300.

Steps to find Factors of 3300

  • Step 1. Find all the numbers that would divide 3300 without leaving any remainder. Starting with the number 1 upto 1650 (half of 3300). The number 1 and the number itself are always factors of the given number.
    3300 ÷ 1 : Remainder = 0
    3300 ÷ 2 : Remainder = 0
    3300 ÷ 3 : Remainder = 0
    3300 ÷ 4 : Remainder = 0
    3300 ÷ 5 : Remainder = 0
    3300 ÷ 6 : Remainder = 0
    3300 ÷ 10 : Remainder = 0
    3300 ÷ 11 : Remainder = 0
    3300 ÷ 12 : Remainder = 0
    3300 ÷ 15 : Remainder = 0
    3300 ÷ 20 : Remainder = 0
    3300 ÷ 22 : Remainder = 0
    3300 ÷ 25 : Remainder = 0
    3300 ÷ 30 : Remainder = 0
    3300 ÷ 33 : Remainder = 0
    3300 ÷ 44 : Remainder = 0
    3300 ÷ 50 : Remainder = 0
    3300 ÷ 55 : Remainder = 0
    3300 ÷ 60 : Remainder = 0
    3300 ÷ 66 : Remainder = 0
    3300 ÷ 75 : Remainder = 0
    3300 ÷ 100 : Remainder = 0
    3300 ÷ 110 : Remainder = 0
    3300 ÷ 132 : Remainder = 0
    3300 ÷ 150 : Remainder = 0
    3300 ÷ 165 : Remainder = 0
    3300 ÷ 220 : Remainder = 0
    3300 ÷ 275 : Remainder = 0
    3300 ÷ 300 : Remainder = 0
    3300 ÷ 330 : Remainder = 0
    3300 ÷ 550 : Remainder = 0
    3300 ÷ 660 : Remainder = 0
    3300 ÷ 825 : Remainder = 0
    3300 ÷ 1100 : Remainder = 0
    3300 ÷ 1650 : Remainder = 0
    3300 ÷ 3300 : Remainder = 0

Hence, Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, and 3300

Frequently Asked Questions

  • Is 3300 a composite number?

    Yes 3300 is a composite number.

  • Is 3300 a prime number?

    No 3300 is not a prime number.

  • What is the mean of factors of 3300?

    Factors of 3300 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 25 , 30 , 33 , 44 , 50 , 55 , 60 , 66 , 75 , 100 , 110 , 132 , 150 , 165 , 220 , 275 , 300 , 330 , 550 , 660 , 825 , 1100 , 1650 , 3300. therefore mean of factors of 3300 is (1 + 2 + 3 + 4 + 5 + 6 + 10 + 11 + 12 + 15 + 20 + 22 + 25 + 30 + 33 + 44 + 50 + 55 + 60 + 66 + 75 + 100 + 110 + 132 + 150 + 165 + 220 + 275 + 300 + 330 + 550 + 660 + 825 + 1100 + 1650 + 3300) / 36 = 289.33.

  • 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 3300.
- Writing all prime factors of 3300.
- Writing all the possible factors of 3300 in pair.
Help him in writing all these.

Positive factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300.
Prime factors of 3300 are 2, 2, 3, 5, 5, 11.
Factors of 3300 in pair are (1,3300), (2,1650), (3,1100), (4,825), (5,660), (6,550), (10,330), (11,300), (12,275), (15,220), (20,165), (22,150), (25,132), (30,110), (33,100), (44,75), (50,66), (55,60).

What are the pair factors of 3300?

Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. Hence, the factors of 3300 in pair are (1,3300), (2,1650), (3,1100), (4,825), (5,660), (6,550), (10,330), (11,300), (12,275), (15,220), (20,165), (22,150), (25,132), (30,110), (33,100), (44,75), (50,66), (55,60).

Can you help Sammy list the factors of 3300 and also find the factor pairs?

Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300.
Factors of 3300 in pair are (1,3300), (2,1650), (3,1100), (4,825), (5,660), (6,550), (10,330), (11,300), (12,275), (15,220), (20,165), (22,150), (25,132), (30,110), (33,100), (44,75), (50,66), (55,60).

The area of a rectangle is 3300 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 3300 in pair. So, the possible combinations (1,3300), (2,1650), (3,1100), (4,825), (5,660), (6,550), (10,330), (11,300), (12,275), (15,220), (20,165), (22,150), (25,132), (30,110), (33,100), (44,75), (50,66), (55,60).

Help Diji in finding factors of 3300 by Prime Factorization method and then sorting factors of 3300 in pairs.

Prime factorization of 3300 is 2 x 2 x 3 x 5 x 5 x 11. Factors of 3300 in pair can be written as (1,3300), (2,1650), (3,1100), (4,825), (5,660), (6,550), (10,330), (11,300), (12,275), (15,220), (20,165), (22,150), (25,132), (30,110), (33,100), (44,75), (50,66), (55,60).

Write the smallest prime factor of 3300.

Smallest prime factor of 3300 is 2.

Write the largest prime factor of 3300.

Largest prime factor of 3300 is 11.

Diji wants to write all the negative factors of 3300. Can you help Diji in doing the same?

Negative factors of 3300 are -1, -2, -3, -4, -5, -6, -10, -11, -12, -15, -20, -22, -25, -30, -33, -44, -50, -55, -60, -66, -75, -100, -110, -132, -150, -165, -220, -275, -300, -330, -550, -660, -825, -1100, -1650, -3300.