Factors of 2100 in pair are (1, 2100) , (2, 1050) , (3, 700) , (4, 525) , (5, 420) , (6, 350) , (7, 300) , (10, 210) , (12, 175) , (14, 150) , (15, 140) , (20, 105) , (21, 100) , (25, 84) , (28, 75) , (30, 70) , (35, 60) and (42, 50)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 2100 | 1 x 2100 = 2100 |
| 2 and 1050 | 2 x 1050 = 2100 |
| 3 and 700 | 3 x 700 = 2100 |
| 4 and 525 | 4 x 525 = 2100 |
| 5 and 420 | 5 x 420 = 2100 |
| 6 and 350 | 6 x 350 = 2100 |
| 7 and 300 | 7 x 300 = 2100 |
| 10 and 210 | 10 x 210 = 2100 |
| 12 and 175 | 12 x 175 = 2100 |
| 14 and 150 | 14 x 150 = 2100 |
| 15 and 140 | 15 x 140 = 2100 |
| 20 and 105 | 20 x 105 = 2100 |
| 21 and 100 | 21 x 100 = 2100 |
| 25 and 84 | 25 x 84 = 2100 |
| 28 and 75 | 28 x 75 = 2100 |
| 30 and 70 | 30 x 70 = 2100 |
| 35 and 60 | 35 x 60 = 2100 |
| 42 and 50 | 42 x 50 = 2100 |
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 2100. They are called negative pair factors.
Hence, the negative pairs of 2100 would be ( -1 , -2100 ) .
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 2100 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 10 , 12 , 14 , 15 , 20 , 21 , 25 , 28 , 30 , 35 , 42 , 50 , 60 , 70 , 75 , 84 , 100 , 105 , 140 , 150 , 175 , 210 , 300 , 350 , 420 , 525 , 700 , 1050 , 2100. So, factors of 2100 in pair are (1,2100), (2,1050), (3,700), (4,525), (5,420), (6,350), (7,300), (10,210), (12,175), (14,150), (15,140), (20,105), (21,100), (25,84), (28,75), (30,70), (35,60), (42,50).
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.
Hence, Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, and 2100
Yes 2100 is a composite number.
No 2100 is not a prime number.
Factors of 2100 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 10 , 12 , 14 , 15 , 20 , 21 , 25 , 28 , 30 , 35 , 42 , 50 , 60 , 70 , 75 , 84 , 100 , 105 , 140 , 150 , 175 , 210 , 300 , 350 , 420 , 525 , 700 , 1050 , 2100. therefore mean of factors of 2100 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 25 + 28 + 30 + 35 + 42 + 50 + 60 + 70 + 75 + 84 + 100 + 105 + 140 + 150 + 175 + 210 + 300 + 350 + 420 + 525 + 700 + 1050 + 2100) / 36 = 192.89.
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.
Positive factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.
Prime factors of 2100 are 2, 2, 3, 5, 5, 7.
Factors of 2100 in pair are (1,2100), (2,1050), (3,700), (4,525), (5,420), (6,350), (7,300), (10,210), (12,175), (14,150), (15,140), (20,105), (21,100), (25,84), (28,75), (30,70), (35,60), (42,50).
Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100. Hence, the factors of 2100 in pair are (1,2100), (2,1050), (3,700), (4,525), (5,420), (6,350), (7,300), (10,210), (12,175), (14,150), (15,140), (20,105), (21,100), (25,84), (28,75), (30,70), (35,60), (42,50).
Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.Factors of 2100 in pair are (1,2100), (2,1050), (3,700), (4,525), (5,420), (6,350), (7,300), (10,210), (12,175), (14,150), (15,140), (20,105), (21,100), (25,84), (28,75), (30,70), (35,60), (42,50).
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 2100 in pair. So, the possible combinations (1,2100), (2,1050), (3,700), (4,525), (5,420), (6,350), (7,300), (10,210), (12,175), (14,150), (15,140), (20,105), (21,100), (25,84), (28,75), (30,70), (35,60), (42,50).
Prime factorization of 2100 is 2 x 2 x 3 x 5 x 5 x 7. Factors of 2100 in pair can be written as (1,2100), (2,1050), (3,700), (4,525), (5,420), (6,350), (7,300), (10,210), (12,175), (14,150), (15,140), (20,105), (21,100), (25,84), (28,75), (30,70), (35,60), (42,50).
Smallest prime factor of 2100 is 2.
Largest prime factor of 2100 is 7.
Negative factors of 2100 are -1, -2, -3, -4, -5, -6, -7, -10, -12, -14, -15, -20, -21, -25, -28, -30, -35, -42, -50, -60, -70, -75, -84, -100, -105, -140, -150, -175, -210, -300, -350, -420, -525, -700, -1050, -2100.