Factors of 3900 in pair are (1, 3900) , (2, 1950) , (3, 1300) , (4, 975) , (5, 780) , (6, 650) , (10, 390) , (12, 325) , (13, 300) , (15, 260) , (20, 195) , (25, 156) , (26, 150) , (30, 130) , (39, 100) , (50, 78) , (52, 75) and (60, 65)

How to find factors of a number in pair

Steps to find factors of 3900 in pair

Example: Find factors of 3900 in pair

Factor Pair Pair Factorization
1 and 3900 1 x 3900 = 3900
2 and 1950 2 x 1950 = 3900
3 and 1300 3 x 1300 = 3900
4 and 975 4 x 975 = 3900
5 and 780 5 x 780 = 3900
6 and 650 6 x 650 = 3900
10 and 390 10 x 390 = 3900
12 and 325 12 x 325 = 3900
13 and 300 13 x 300 = 3900
15 and 260 15 x 260 = 3900
20 and 195 20 x 195 = 3900
25 and 156 25 x 156 = 3900
26 and 150 26 x 150 = 3900
30 and 130 30 x 130 = 3900
39 and 100 39 x 100 = 3900
50 and 78 50 x 78 = 3900
52 and 75 52 x 75 = 3900
60 and 65 60 x 65 = 3900

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 3900. They are called negative pair factors.

Hence, the negative pairs of 3900 would be ( -1 , -3900 ) .

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 3900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 25 , 26 , 30 , 39 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 130 , 150 , 156 , 195 , 260 , 300 , 325 , 390 , 650 , 780 , 975 , 1300 , 1950 , 3900. So, factors of 3900 in pair are (1,3900), (2,1950), (3,1300), (4,975), (5,780), (6,650), (10,390), (12,325), (13,300), (15,260), (20,195), (25,156), (26,150), (30,130), (39,100), (50,78), (52,75), (60,65).

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. 3900 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3900.
  • Every number is a factor of zero (0), since 3900 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, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900 are exact divisors of 3900.
  • Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. Each factor divides 3900 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, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900 are all less than or equal to 3900.

Steps to find Factors of 3900

  • Step 1. Find all the numbers that would divide 3900 without leaving any remainder. Starting with the number 1 upto 1950 (half of 3900). The number 1 and the number itself are always factors of the given number.
    3900 ÷ 1 : Remainder = 0
    3900 ÷ 2 : Remainder = 0
    3900 ÷ 3 : Remainder = 0
    3900 ÷ 4 : Remainder = 0
    3900 ÷ 5 : Remainder = 0
    3900 ÷ 6 : Remainder = 0
    3900 ÷ 10 : Remainder = 0
    3900 ÷ 12 : Remainder = 0
    3900 ÷ 13 : Remainder = 0
    3900 ÷ 15 : Remainder = 0
    3900 ÷ 20 : Remainder = 0
    3900 ÷ 25 : Remainder = 0
    3900 ÷ 26 : Remainder = 0
    3900 ÷ 30 : Remainder = 0
    3900 ÷ 39 : Remainder = 0
    3900 ÷ 50 : Remainder = 0
    3900 ÷ 52 : Remainder = 0
    3900 ÷ 60 : Remainder = 0
    3900 ÷ 65 : Remainder = 0
    3900 ÷ 75 : Remainder = 0
    3900 ÷ 78 : Remainder = 0
    3900 ÷ 100 : Remainder = 0
    3900 ÷ 130 : Remainder = 0
    3900 ÷ 150 : Remainder = 0
    3900 ÷ 156 : Remainder = 0
    3900 ÷ 195 : Remainder = 0
    3900 ÷ 260 : Remainder = 0
    3900 ÷ 300 : Remainder = 0
    3900 ÷ 325 : Remainder = 0
    3900 ÷ 390 : Remainder = 0
    3900 ÷ 650 : Remainder = 0
    3900 ÷ 780 : Remainder = 0
    3900 ÷ 975 : Remainder = 0
    3900 ÷ 1300 : Remainder = 0
    3900 ÷ 1950 : Remainder = 0
    3900 ÷ 3900 : Remainder = 0

Hence, Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, and 3900

Frequently Asked Questions

  • Is 3900 a composite number?

    Yes 3900 is a composite number.

  • Is 3900 a prime number?

    No 3900 is not a prime number.

  • What is the mean of factors of 3900?

    Factors of 3900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 25 , 26 , 30 , 39 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 130 , 150 , 156 , 195 , 260 , 300 , 325 , 390 , 650 , 780 , 975 , 1300 , 1950 , 3900. therefore mean of factors of 3900 is (1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 13 + 15 + 20 + 25 + 26 + 30 + 39 + 50 + 52 + 60 + 65 + 75 + 78 + 100 + 130 + 150 + 156 + 195 + 260 + 300 + 325 + 390 + 650 + 780 + 975 + 1300 + 1950 + 3900) / 36 = 337.56.

  • 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 3900.
- Writing all prime factors of 3900.
- Writing all the possible factors of 3900 in pair.
Help him in writing all these.

Positive factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900.
Prime factors of 3900 are 2, 2, 3, 5, 5, 13.
Factors of 3900 in pair are (1,3900), (2,1950), (3,1300), (4,975), (5,780), (6,650), (10,390), (12,325), (13,300), (15,260), (20,195), (25,156), (26,150), (30,130), (39,100), (50,78), (52,75), (60,65).

What are the pair factors of 3900?

Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. Hence, the factors of 3900 in pair are (1,3900), (2,1950), (3,1300), (4,975), (5,780), (6,650), (10,390), (12,325), (13,300), (15,260), (20,195), (25,156), (26,150), (30,130), (39,100), (50,78), (52,75), (60,65).

Can you help Sammy list the factors of 3900 and also find the factor pairs?

Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900.
Factors of 3900 in pair are (1,3900), (2,1950), (3,1300), (4,975), (5,780), (6,650), (10,390), (12,325), (13,300), (15,260), (20,195), (25,156), (26,150), (30,130), (39,100), (50,78), (52,75), (60,65).

The area of a rectangle is 3900 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 3900 in pair. So, the possible combinations (1,3900), (2,1950), (3,1300), (4,975), (5,780), (6,650), (10,390), (12,325), (13,300), (15,260), (20,195), (25,156), (26,150), (30,130), (39,100), (50,78), (52,75), (60,65).

Help Diji in finding factors of 3900 by Prime Factorization method and then sorting factors of 3900 in pairs.

Prime factorization of 3900 is 2 x 2 x 3 x 5 x 5 x 13. Factors of 3900 in pair can be written as (1,3900), (2,1950), (3,1300), (4,975), (5,780), (6,650), (10,390), (12,325), (13,300), (15,260), (20,195), (25,156), (26,150), (30,130), (39,100), (50,78), (52,75), (60,65).

Write the smallest prime factor of 3900.

Smallest prime factor of 3900 is 2.

Write the largest prime factor of 3900.

Largest prime factor of 3900 is 13.

Diji wants to write all the negative factors of 3900. Can you help Diji in doing the same?

Negative factors of 3900 are -1, -2, -3, -4, -5, -6, -10, -12, -13, -15, -20, -25, -26, -30, -39, -50, -52, -60, -65, -75, -78, -100, -130, -150, -156, -195, -260, -300, -325, -390, -650, -780, -975, -1300, -1950, -3900.