Factors of 5100 in pair are (1, 5100) , (2, 2550) , (3, 1700) , (4, 1275) , (5, 1020) , (6, 850) , (10, 510) , (12, 425) , (15, 340) , (17, 300) , (20, 255) , (25, 204) , (30, 170) , (34, 150) , (50, 102) , (51, 100) , (60, 85) and (68, 75)

How to find factors of a number in pair

Steps to find factors of 5100 in pair

Example: Find factors of 5100 in pair

Factor Pair Pair Factorization
1 and 5100 1 x 5100 = 5100
2 and 2550 2 x 2550 = 5100
3 and 1700 3 x 1700 = 5100
4 and 1275 4 x 1275 = 5100
5 and 1020 5 x 1020 = 5100
6 and 850 6 x 850 = 5100
10 and 510 10 x 510 = 5100
12 and 425 12 x 425 = 5100
15 and 340 15 x 340 = 5100
17 and 300 17 x 300 = 5100
20 and 255 20 x 255 = 5100
25 and 204 25 x 204 = 5100
30 and 170 30 x 170 = 5100
34 and 150 34 x 150 = 5100
50 and 102 50 x 102 = 5100
51 and 100 51 x 100 = 5100
60 and 85 60 x 85 = 5100
68 and 75 68 x 75 = 5100

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 5100. They are called negative pair factors.

Hence, the negative pairs of 5100 would be ( -1 , -5100 ) .

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 5100 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 25 , 30 , 34 , 50 , 51 , 60 , 68 , 75 , 85 , 100 , 102 , 150 , 170 , 204 , 255 , 300 , 340 , 425 , 510 , 850 , 1020 , 1275 , 1700 , 2550 , 5100. So, factors of 5100 in pair are (1,5100), (2,2550), (3,1700), (4,1275), (5,1020), (6,850), (10,510), (12,425), (15,340), (17,300), (20,255), (25,204), (30,170), (34,150), (50,102), (51,100), (60,85), (68,75).

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. 5100 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5100.
  • Every number is a factor of zero (0), since 5100 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, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100 are exact divisors of 5100.
  • Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. Each factor divides 5100 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, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100 are all less than or equal to 5100.

Steps to find Factors of 5100

  • Step 1. Find all the numbers that would divide 5100 without leaving any remainder. Starting with the number 1 upto 2550 (half of 5100). The number 1 and the number itself are always factors of the given number.
    5100 ÷ 1 : Remainder = 0
    5100 ÷ 2 : Remainder = 0
    5100 ÷ 3 : Remainder = 0
    5100 ÷ 4 : Remainder = 0
    5100 ÷ 5 : Remainder = 0
    5100 ÷ 6 : Remainder = 0
    5100 ÷ 10 : Remainder = 0
    5100 ÷ 12 : Remainder = 0
    5100 ÷ 15 : Remainder = 0
    5100 ÷ 17 : Remainder = 0
    5100 ÷ 20 : Remainder = 0
    5100 ÷ 25 : Remainder = 0
    5100 ÷ 30 : Remainder = 0
    5100 ÷ 34 : Remainder = 0
    5100 ÷ 50 : Remainder = 0
    5100 ÷ 51 : Remainder = 0
    5100 ÷ 60 : Remainder = 0
    5100 ÷ 68 : Remainder = 0
    5100 ÷ 75 : Remainder = 0
    5100 ÷ 85 : Remainder = 0
    5100 ÷ 100 : Remainder = 0
    5100 ÷ 102 : Remainder = 0
    5100 ÷ 150 : Remainder = 0
    5100 ÷ 170 : Remainder = 0
    5100 ÷ 204 : Remainder = 0
    5100 ÷ 255 : Remainder = 0
    5100 ÷ 300 : Remainder = 0
    5100 ÷ 340 : Remainder = 0
    5100 ÷ 425 : Remainder = 0
    5100 ÷ 510 : Remainder = 0
    5100 ÷ 850 : Remainder = 0
    5100 ÷ 1020 : Remainder = 0
    5100 ÷ 1275 : Remainder = 0
    5100 ÷ 1700 : Remainder = 0
    5100 ÷ 2550 : Remainder = 0
    5100 ÷ 5100 : Remainder = 0

Hence, Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, and 5100

Frequently Asked Questions

  • Is 5100 a composite number?

    Yes 5100 is a composite number.

  • Is 5100 a prime number?

    No 5100 is not a prime number.

  • What is the mean of factors of 5100?

    Factors of 5100 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 25 , 30 , 34 , 50 , 51 , 60 , 68 , 75 , 85 , 100 , 102 , 150 , 170 , 204 , 255 , 300 , 340 , 425 , 510 , 850 , 1020 , 1275 , 1700 , 2550 , 5100. therefore mean of factors of 5100 is (1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 17 + 20 + 25 + 30 + 34 + 50 + 51 + 60 + 68 + 75 + 85 + 100 + 102 + 150 + 170 + 204 + 255 + 300 + 340 + 425 + 510 + 850 + 1020 + 1275 + 1700 + 2550 + 5100) / 36 = 434.00.

  • 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 5100.
- Writing all prime factors of 5100.
- Writing all the possible factors of 5100 in pair.
Help him in writing all these.

Positive factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100.
Prime factors of 5100 are 2, 2, 3, 5, 5, 17.
Factors of 5100 in pair are (1,5100), (2,2550), (3,1700), (4,1275), (5,1020), (6,850), (10,510), (12,425), (15,340), (17,300), (20,255), (25,204), (30,170), (34,150), (50,102), (51,100), (60,85), (68,75).

What are the pair factors of 5100?

Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. Hence, the factors of 5100 in pair are (1,5100), (2,2550), (3,1700), (4,1275), (5,1020), (6,850), (10,510), (12,425), (15,340), (17,300), (20,255), (25,204), (30,170), (34,150), (50,102), (51,100), (60,85), (68,75).

Can you help Sammy list the factors of 5100 and also find the factor pairs?

Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100.
Factors of 5100 in pair are (1,5100), (2,2550), (3,1700), (4,1275), (5,1020), (6,850), (10,510), (12,425), (15,340), (17,300), (20,255), (25,204), (30,170), (34,150), (50,102), (51,100), (60,85), (68,75).

The area of a rectangle is 5100 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 5100 in pair. So, the possible combinations (1,5100), (2,2550), (3,1700), (4,1275), (5,1020), (6,850), (10,510), (12,425), (15,340), (17,300), (20,255), (25,204), (30,170), (34,150), (50,102), (51,100), (60,85), (68,75).

Help Diji in finding factors of 5100 by Prime Factorization method and then sorting factors of 5100 in pairs.

Prime factorization of 5100 is 2 x 2 x 3 x 5 x 5 x 17. Factors of 5100 in pair can be written as (1,5100), (2,2550), (3,1700), (4,1275), (5,1020), (6,850), (10,510), (12,425), (15,340), (17,300), (20,255), (25,204), (30,170), (34,150), (50,102), (51,100), (60,85), (68,75).

Write the smallest prime factor of 5100.

Smallest prime factor of 5100 is 2.

Write the largest prime factor of 5100.

Largest prime factor of 5100 is 17.

Diji wants to write all the negative factors of 5100. Can you help Diji in doing the same?

Negative factors of 5100 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -17, -20, -25, -30, -34, -50, -51, -60, -68, -75, -85, -100, -102, -150, -170, -204, -255, -300, -340, -425, -510, -850, -1020, -1275, -1700, -2550, -5100.