Factors of 13500 in pair are (1, 13500) , (2, 6750) , (3, 4500) , (4, 3375) , (5, 2700) , (6, 2250) , (9, 1500) , (10, 1350) , (12, 1125) , (15, 900) , (18, 750) , (20, 675) , (25, 540) , (27, 500) , (30, 450) , (36, 375) , (45, 300) , (50, 270) , (54, 250) , (60, 225) , (75, 180) , (90, 150) , (100, 135) and (108, 125)

How to find factors of a number in pair

Steps to find factors of 13500 in pair

Example: Find factors of 13500 in pair

Factor Pair Pair Factorization
1 and 13500 1 x 13500 = 13500
2 and 6750 2 x 6750 = 13500
3 and 4500 3 x 4500 = 13500
4 and 3375 4 x 3375 = 13500
5 and 2700 5 x 2700 = 13500
6 and 2250 6 x 2250 = 13500
9 and 1500 9 x 1500 = 13500
10 and 1350 10 x 1350 = 13500
12 and 1125 12 x 1125 = 13500
15 and 900 15 x 900 = 13500
18 and 750 18 x 750 = 13500
20 and 675 20 x 675 = 13500
25 and 540 25 x 540 = 13500
27 and 500 27 x 500 = 13500
30 and 450 30 x 450 = 13500
36 and 375 36 x 375 = 13500
45 and 300 45 x 300 = 13500
50 and 270 50 x 270 = 13500
54 and 250 54 x 250 = 13500
60 and 225 60 x 225 = 13500
75 and 180 75 x 180 = 13500
90 and 150 90 x 150 = 13500
100 and 135 100 x 135 = 13500
108 and 125 108 x 125 = 13500

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 13500. They are called negative pair factors.

Hence, the negative pairs of 13500 would be ( -1 , -13500 ) .

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 13500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 90 , 100 , 108 , 125 , 135 , 150 , 180 , 225 , 250 , 270 , 300 , 375 , 450 , 500 , 540 , 675 , 750 , 900 , 1125 , 1350 , 1500 , 2250 , 2700 , 3375 , 4500 , 6750 , 13500. So, factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).

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. 13500 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 13500.
  • Every number is a factor of zero (0), since 13500 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, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500 are exact divisors of 13500.
  • Factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500. Each factor divides 13500 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, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500 are all less than or equal to 13500.

Steps to find Factors of 13500

  • Step 1. Find all the numbers that would divide 13500 without leaving any remainder. Starting with the number 1 upto 6750 (half of 13500). The number 1 and the number itself are always factors of the given number.
    13500 ÷ 1 : Remainder = 0
    13500 ÷ 2 : Remainder = 0
    13500 ÷ 3 : Remainder = 0
    13500 ÷ 4 : Remainder = 0
    13500 ÷ 5 : Remainder = 0
    13500 ÷ 6 : Remainder = 0
    13500 ÷ 9 : Remainder = 0
    13500 ÷ 10 : Remainder = 0
    13500 ÷ 12 : Remainder = 0
    13500 ÷ 15 : Remainder = 0
    13500 ÷ 18 : Remainder = 0
    13500 ÷ 20 : Remainder = 0
    13500 ÷ 25 : Remainder = 0
    13500 ÷ 27 : Remainder = 0
    13500 ÷ 30 : Remainder = 0
    13500 ÷ 36 : Remainder = 0
    13500 ÷ 45 : Remainder = 0
    13500 ÷ 50 : Remainder = 0
    13500 ÷ 54 : Remainder = 0
    13500 ÷ 60 : Remainder = 0
    13500 ÷ 75 : Remainder = 0
    13500 ÷ 90 : Remainder = 0
    13500 ÷ 100 : Remainder = 0
    13500 ÷ 108 : Remainder = 0
    13500 ÷ 125 : Remainder = 0
    13500 ÷ 135 : Remainder = 0
    13500 ÷ 150 : Remainder = 0
    13500 ÷ 180 : Remainder = 0
    13500 ÷ 225 : Remainder = 0
    13500 ÷ 250 : Remainder = 0
    13500 ÷ 270 : Remainder = 0
    13500 ÷ 300 : Remainder = 0
    13500 ÷ 375 : Remainder = 0
    13500 ÷ 450 : Remainder = 0
    13500 ÷ 500 : Remainder = 0
    13500 ÷ 540 : Remainder = 0
    13500 ÷ 675 : Remainder = 0
    13500 ÷ 750 : Remainder = 0
    13500 ÷ 900 : Remainder = 0
    13500 ÷ 1125 : Remainder = 0
    13500 ÷ 1350 : Remainder = 0
    13500 ÷ 1500 : Remainder = 0
    13500 ÷ 2250 : Remainder = 0
    13500 ÷ 2700 : Remainder = 0
    13500 ÷ 3375 : Remainder = 0
    13500 ÷ 4500 : Remainder = 0
    13500 ÷ 6750 : Remainder = 0
    13500 ÷ 13500 : Remainder = 0

Hence, Factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, and 13500

Frequently Asked Questions

  • Is 13500 a composite number?

    Yes 13500 is a composite number.

  • Is 13500 a prime number?

    No 13500 is not a prime number.

  • What is the mean of factors of 13500?

    Factors of 13500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 90 , 100 , 108 , 125 , 135 , 150 , 180 , 225 , 250 , 270 , 300 , 375 , 450 , 500 , 540 , 675 , 750 , 900 , 1125 , 1350 , 1500 , 2250 , 2700 , 3375 , 4500 , 6750 , 13500. therefore mean of factors of 13500 is (1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 90 + 100 + 108 + 125 + 135 + 150 + 180 + 225 + 250 + 270 + 300 + 375 + 450 + 500 + 540 + 675 + 750 + 900 + 1125 + 1350 + 1500 + 2250 + 2700 + 3375 + 4500 + 6750 + 13500) / 48 = 910.00.

  • 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 13500.
- Writing all prime factors of 13500.
- Writing all the possible factors of 13500 in pair.
Help him in writing all these.

Positive factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500.
Prime factors of 13500 are 2, 2, 3, 3, 3, 5, 5, 5.
Factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).

What are the pair factors of 13500?

Factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500. Hence, the factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).

Can you help Sammy list the factors of 13500 and also find the factor pairs?

Factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500.
Factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).

The area of a rectangle is 13500 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 13500 in pair. So, the possible combinations (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).

Help Diji in finding factors of 13500 by Prime Factorization method and then sorting factors of 13500 in pairs.

Prime factorization of 13500 is 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5. Factors of 13500 in pair can be written as (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).

Write the smallest prime factor of 13500.

Smallest prime factor of 13500 is 2.

Write the largest prime factor of 13500.

Largest prime factor of 13500 is 5.

Diji wants to write all the negative factors of 13500. Can you help Diji in doing the same?

Negative factors of 13500 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -27, -30, -36, -45, -50, -54, -60, -75, -90, -100, -108, -125, -135, -150, -180, -225, -250, -270, -300, -375, -450, -500, -540, -675, -750, -900, -1125, -1350, -1500, -2250, -2700, -3375, -4500, -6750, -13500.