Factors of 6900 in pair are (1, 6900) , (2, 3450) , (3, 2300) , (4, 1725) , (5, 1380) , (6, 1150) , (10, 690) , (12, 575) , (15, 460) , (20, 345) , (23, 300) , (25, 276) , (30, 230) , (46, 150) , (50, 138) , (60, 115) , (69, 100) and (75, 92)

How to find factors of a number in pair

Steps to find factors of 6900 in pair

Example: Find factors of 6900 in pair

Factor Pair Pair Factorization
1 and 6900 1 x 6900 = 6900
2 and 3450 2 x 3450 = 6900
3 and 2300 3 x 2300 = 6900
4 and 1725 4 x 1725 = 6900
5 and 1380 5 x 1380 = 6900
6 and 1150 6 x 1150 = 6900
10 and 690 10 x 690 = 6900
12 and 575 12 x 575 = 6900
15 and 460 15 x 460 = 6900
20 and 345 20 x 345 = 6900
23 and 300 23 x 300 = 6900
25 and 276 25 x 276 = 6900
30 and 230 30 x 230 = 6900
46 and 150 46 x 150 = 6900
50 and 138 50 x 138 = 6900
60 and 115 60 x 115 = 6900
69 and 100 69 x 100 = 6900
75 and 92 75 x 92 = 6900

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 6900. They are called negative pair factors.

Hence, the negative pairs of 6900 would be ( -1 , -6900 ) .

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 6900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 23 , 25 , 30 , 46 , 50 , 60 , 69 , 75 , 92 , 100 , 115 , 138 , 150 , 230 , 276 , 300 , 345 , 460 , 575 , 690 , 1150 , 1380 , 1725 , 2300 , 3450 , 6900. So, factors of 6900 in pair are (1,6900), (2,3450), (3,2300), (4,1725), (5,1380), (6,1150), (10,690), (12,575), (15,460), (20,345), (23,300), (25,276), (30,230), (46,150), (50,138), (60,115), (69,100), (75,92).

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. 6900 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 6900.
  • Every number is a factor of zero (0), since 6900 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, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900 are exact divisors of 6900.
  • Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. Each factor divides 6900 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, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900 are all less than or equal to 6900.

Steps to find Factors of 6900

  • Step 1. Find all the numbers that would divide 6900 without leaving any remainder. Starting with the number 1 upto 3450 (half of 6900). The number 1 and the number itself are always factors of the given number.
    6900 ÷ 1 : Remainder = 0
    6900 ÷ 2 : Remainder = 0
    6900 ÷ 3 : Remainder = 0
    6900 ÷ 4 : Remainder = 0
    6900 ÷ 5 : Remainder = 0
    6900 ÷ 6 : Remainder = 0
    6900 ÷ 10 : Remainder = 0
    6900 ÷ 12 : Remainder = 0
    6900 ÷ 15 : Remainder = 0
    6900 ÷ 20 : Remainder = 0
    6900 ÷ 23 : Remainder = 0
    6900 ÷ 25 : Remainder = 0
    6900 ÷ 30 : Remainder = 0
    6900 ÷ 46 : Remainder = 0
    6900 ÷ 50 : Remainder = 0
    6900 ÷ 60 : Remainder = 0
    6900 ÷ 69 : Remainder = 0
    6900 ÷ 75 : Remainder = 0
    6900 ÷ 92 : Remainder = 0
    6900 ÷ 100 : Remainder = 0
    6900 ÷ 115 : Remainder = 0
    6900 ÷ 138 : Remainder = 0
    6900 ÷ 150 : Remainder = 0
    6900 ÷ 230 : Remainder = 0
    6900 ÷ 276 : Remainder = 0
    6900 ÷ 300 : Remainder = 0
    6900 ÷ 345 : Remainder = 0
    6900 ÷ 460 : Remainder = 0
    6900 ÷ 575 : Remainder = 0
    6900 ÷ 690 : Remainder = 0
    6900 ÷ 1150 : Remainder = 0
    6900 ÷ 1380 : Remainder = 0
    6900 ÷ 1725 : Remainder = 0
    6900 ÷ 2300 : Remainder = 0
    6900 ÷ 3450 : Remainder = 0
    6900 ÷ 6900 : Remainder = 0

Hence, Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, and 6900

Frequently Asked Questions

  • Is 6900 a composite number?

    Yes 6900 is a composite number.

  • Is 6900 a prime number?

    No 6900 is not a prime number.

  • What is the mean of factors of 6900?

    Factors of 6900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 23 , 25 , 30 , 46 , 50 , 60 , 69 , 75 , 92 , 100 , 115 , 138 , 150 , 230 , 276 , 300 , 345 , 460 , 575 , 690 , 1150 , 1380 , 1725 , 2300 , 3450 , 6900. therefore mean of factors of 6900 is (1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 23 + 25 + 30 + 46 + 50 + 60 + 69 + 75 + 92 + 100 + 115 + 138 + 150 + 230 + 276 + 300 + 345 + 460 + 575 + 690 + 1150 + 1380 + 1725 + 2300 + 3450 + 6900) / 36 = 578.67.

  • 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 6900.
- Writing all prime factors of 6900.
- Writing all the possible factors of 6900 in pair.
Help him in writing all these.

Positive factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900.
Prime factors of 6900 are 2, 2, 3, 5, 5, 23.
Factors of 6900 in pair are (1,6900), (2,3450), (3,2300), (4,1725), (5,1380), (6,1150), (10,690), (12,575), (15,460), (20,345), (23,300), (25,276), (30,230), (46,150), (50,138), (60,115), (69,100), (75,92).

What are the pair factors of 6900?

Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. Hence, the factors of 6900 in pair are (1,6900), (2,3450), (3,2300), (4,1725), (5,1380), (6,1150), (10,690), (12,575), (15,460), (20,345), (23,300), (25,276), (30,230), (46,150), (50,138), (60,115), (69,100), (75,92).

Can you help Sammy list the factors of 6900 and also find the factor pairs?

Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900.
Factors of 6900 in pair are (1,6900), (2,3450), (3,2300), (4,1725), (5,1380), (6,1150), (10,690), (12,575), (15,460), (20,345), (23,300), (25,276), (30,230), (46,150), (50,138), (60,115), (69,100), (75,92).

The area of a rectangle is 6900 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 6900 in pair. So, the possible combinations (1,6900), (2,3450), (3,2300), (4,1725), (5,1380), (6,1150), (10,690), (12,575), (15,460), (20,345), (23,300), (25,276), (30,230), (46,150), (50,138), (60,115), (69,100), (75,92).

Help Diji in finding factors of 6900 by Prime Factorization method and then sorting factors of 6900 in pairs.

Prime factorization of 6900 is 2 x 2 x 3 x 5 x 5 x 23. Factors of 6900 in pair can be written as (1,6900), (2,3450), (3,2300), (4,1725), (5,1380), (6,1150), (10,690), (12,575), (15,460), (20,345), (23,300), (25,276), (30,230), (46,150), (50,138), (60,115), (69,100), (75,92).

Write the smallest prime factor of 6900.

Smallest prime factor of 6900 is 2.

Write the largest prime factor of 6900.

Largest prime factor of 6900 is 23.

Diji wants to write all the negative factors of 6900. Can you help Diji in doing the same?

Negative factors of 6900 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -23, -25, -30, -46, -50, -60, -69, -75, -92, -100, -115, -138, -150, -230, -276, -300, -345, -460, -575, -690, -1150, -1380, -1725, -2300, -3450, -6900.