Factors of 4500 in pair are (1, 4500) , (2, 2250) , (3, 1500) , (4, 1125) , (5, 900) , (6, 750) , (9, 500) , (10, 450) , (12, 375) , (15, 300) , (18, 250) , (20, 225) , (25, 180) , (30, 150) , (36, 125) , (45, 100) , (50, 90) and (60, 75)

How to find factors of a number in pair

Steps to find factors of 4500 in pair

Example: Find factors of 4500 in pair

Factor Pair Pair Factorization
1 and 4500 1 x 4500 = 4500
2 and 2250 2 x 2250 = 4500
3 and 1500 3 x 1500 = 4500
4 and 1125 4 x 1125 = 4500
5 and 900 5 x 900 = 4500
6 and 750 6 x 750 = 4500
9 and 500 9 x 500 = 4500
10 and 450 10 x 450 = 4500
12 and 375 12 x 375 = 4500
15 and 300 15 x 300 = 4500
18 and 250 18 x 250 = 4500
20 and 225 20 x 225 = 4500
25 and 180 25 x 180 = 4500
30 and 150 30 x 150 = 4500
36 and 125 36 x 125 = 4500
45 and 100 45 x 100 = 4500
50 and 90 50 x 90 = 4500
60 and 75 60 x 75 = 4500

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 4500. They are called negative pair factors.

Hence, the negative pairs of 4500 would be ( -1 , -4500 ) .

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 4500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 125 , 150 , 180 , 225 , 250 , 300 , 375 , 450 , 500 , 750 , 900 , 1125 , 1500 , 2250 , 4500. So, factors of 4500 in pair are (1,4500), (2,2250), (3,1500), (4,1125), (5,900), (6,750), (9,500), (10,450), (12,375), (15,300), (18,250), (20,225), (25,180), (30,150), (36,125), (45,100), (50,90), (60,75).

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

Steps to find Factors of 4500

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

Hence, Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, and 4500

Frequently Asked Questions

  • Is 4500 a composite number?

    Yes 4500 is a composite number.

  • Is 4500 a prime number?

    No 4500 is not a prime number.

  • What is the mean of factors of 4500?

    Factors of 4500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 125 , 150 , 180 , 225 , 250 , 300 , 375 , 450 , 500 , 750 , 900 , 1125 , 1500 , 2250 , 4500. therefore mean of factors of 4500 is (1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 30 + 36 + 45 + 50 + 60 + 75 + 90 + 100 + 125 + 150 + 180 + 225 + 250 + 300 + 375 + 450 + 500 + 750 + 900 + 1125 + 1500 + 2250 + 4500) / 36 = 394.33.

  • 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 4500.
- Writing all prime factors of 4500.
- Writing all the possible factors of 4500 in pair.
Help him in writing all these.

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

What are the pair factors of 4500?

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

Can you help Sammy list the factors of 4500 and also find the factor pairs?

Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500.
Factors of 4500 in pair are (1,4500), (2,2250), (3,1500), (4,1125), (5,900), (6,750), (9,500), (10,450), (12,375), (15,300), (18,250), (20,225), (25,180), (30,150), (36,125), (45,100), (50,90), (60,75).

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

Help Diji in finding factors of 4500 by Prime Factorization method and then sorting factors of 4500 in pairs.

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

Write the smallest prime factor of 4500.

Smallest prime factor of 4500 is 2.

Write the largest prime factor of 4500.

Largest prime factor of 4500 is 5.

Diji wants to write all the negative factors of 4500. Can you help Diji in doing the same?

Negative factors of 4500 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -30, -36, -45, -50, -60, -75, -90, -100, -125, -150, -180, -225, -250, -300, -375, -450, -500, -750, -900, -1125, -1500, -2250, -4500.