Factors of 8820 in pair are (1, 8820) , (2, 4410) , (3, 2940) , (4, 2205) , (5, 1764) , (6, 1470) , (7, 1260) , (9, 980) , (10, 882) , (12, 735) , (14, 630) , (15, 588) , (18, 490) , (20, 441) , (21, 420) , (28, 315) , (30, 294) , (35, 252) , (36, 245) , (42, 210) , (45, 196) , (49, 180) , (60, 147) , (63, 140) , (70, 126) , (84, 105) and (90, 98)
Factor Pair | Pair Factorization |
---|---|
1 and 8820 | 1 x 8820 = 8820 |
2 and 4410 | 2 x 4410 = 8820 |
3 and 2940 | 3 x 2940 = 8820 |
4 and 2205 | 4 x 2205 = 8820 |
5 and 1764 | 5 x 1764 = 8820 |
6 and 1470 | 6 x 1470 = 8820 |
7 and 1260 | 7 x 1260 = 8820 |
9 and 980 | 9 x 980 = 8820 |
10 and 882 | 10 x 882 = 8820 |
12 and 735 | 12 x 735 = 8820 |
14 and 630 | 14 x 630 = 8820 |
15 and 588 | 15 x 588 = 8820 |
18 and 490 | 18 x 490 = 8820 |
20 and 441 | 20 x 441 = 8820 |
21 and 420 | 21 x 420 = 8820 |
28 and 315 | 28 x 315 = 8820 |
30 and 294 | 30 x 294 = 8820 |
35 and 252 | 35 x 252 = 8820 |
36 and 245 | 36 x 245 = 8820 |
42 and 210 | 42 x 210 = 8820 |
45 and 196 | 45 x 196 = 8820 |
49 and 180 | 49 x 180 = 8820 |
60 and 147 | 60 x 147 = 8820 |
63 and 140 | 63 x 140 = 8820 |
70 and 126 | 70 x 126 = 8820 |
84 and 105 | 84 x 105 = 8820 |
90 and 98 | 90 x 98 = 8820 |
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 8820. They are called negative pair factors.
Hence, the negative pairs of 8820 would be ( -1 , -8820 ) .
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 8820 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 9 , 10 , 12 , 14 , 15 , 18 , 20 , 21 , 28 , 30 , 35 , 36 , 42 , 45 , 49 , 60 , 63 , 70 , 84 , 90 , 98 , 105 , 126 , 140 , 147 , 180 , 196 , 210 , 245 , 252 , 294 , 315 , 420 , 441 , 490 , 588 , 630 , 735 , 882 , 980 , 1260 , 1470 , 1764 , 2205 , 2940 , 4410 , 8820. So, factors of 8820 in pair are (1,8820), (2,4410), (3,2940), (4,2205), (5,1764), (6,1470), (7,1260), (9,980), (10,882), (12,735), (14,630), (15,588), (18,490), (20,441), (21,420), (28,315), (30,294), (35,252), (36,245), (42,210), (45,196), (49,180), (60,147), (63,140), (70,126), (84,105), (90,98).
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 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, and 8820
Yes 8820 is a composite number.
No 8820 is not a prime number.
Factors of 8820 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 9 , 10 , 12 , 14 , 15 , 18 , 20 , 21 , 28 , 30 , 35 , 36 , 42 , 45 , 49 , 60 , 63 , 70 , 84 , 90 , 98 , 105 , 126 , 140 , 147 , 180 , 196 , 210 , 245 , 252 , 294 , 315 , 420 , 441 , 490 , 588 , 630 , 735 , 882 , 980 , 1260 , 1470 , 1764 , 2205 , 2940 , 4410 , 8820. therefore mean of factors of 8820 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 28 + 30 + 35 + 36 + 42 + 45 + 49 + 60 + 63 + 70 + 84 + 90 + 98 + 105 + 126 + 140 + 147 + 180 + 196 + 210 + 245 + 252 + 294 + 315 + 420 + 441 + 490 + 588 + 630 + 735 + 882 + 980 + 1260 + 1470 + 1764 + 2205 + 2940 + 4410 + 8820) / 54 = 576.33.
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 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820.
Prime factors of 8820 are 2, 2, 3, 3, 5, 7, 7.
Factors of 8820 in pair are (1,8820), (2,4410), (3,2940), (4,2205), (5,1764), (6,1470), (7,1260), (9,980), (10,882), (12,735), (14,630), (15,588), (18,490), (20,441), (21,420), (28,315), (30,294), (35,252), (36,245), (42,210), (45,196), (49,180), (60,147), (63,140), (70,126), (84,105), (90,98).
Factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820. Hence, the factors of 8820 in pair are (1,8820), (2,4410), (3,2940), (4,2205), (5,1764), (6,1470), (7,1260), (9,980), (10,882), (12,735), (14,630), (15,588), (18,490), (20,441), (21,420), (28,315), (30,294), (35,252), (36,245), (42,210), (45,196), (49,180), (60,147), (63,140), (70,126), (84,105), (90,98).
Factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820.Factors of 8820 in pair are (1,8820), (2,4410), (3,2940), (4,2205), (5,1764), (6,1470), (7,1260), (9,980), (10,882), (12,735), (14,630), (15,588), (18,490), (20,441), (21,420), (28,315), (30,294), (35,252), (36,245), (42,210), (45,196), (49,180), (60,147), (63,140), (70,126), (84,105), (90,98).
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 8820 in pair. So, the possible combinations (1,8820), (2,4410), (3,2940), (4,2205), (5,1764), (6,1470), (7,1260), (9,980), (10,882), (12,735), (14,630), (15,588), (18,490), (20,441), (21,420), (28,315), (30,294), (35,252), (36,245), (42,210), (45,196), (49,180), (60,147), (63,140), (70,126), (84,105), (90,98).
Prime factorization of 8820 is 2 x 2 x 3 x 3 x 5 x 7 x 7. Factors of 8820 in pair can be written as (1,8820), (2,4410), (3,2940), (4,2205), (5,1764), (6,1470), (7,1260), (9,980), (10,882), (12,735), (14,630), (15,588), (18,490), (20,441), (21,420), (28,315), (30,294), (35,252), (36,245), (42,210), (45,196), (49,180), (60,147), (63,140), (70,126), (84,105), (90,98).
Smallest prime factor of 8820 is 2.
Largest prime factor of 8820 is 7.
Negative factors of 8820 are -1, -2, -3, -4, -5, -6, -7, -9, -10, -12, -14, -15, -18, -20, -21, -28, -30, -35, -36, -42, -45, -49, -60, -63, -70, -84, -90, -98, -105, -126, -140, -147, -180, -196, -210, -245, -252, -294, -315, -420, -441, -490, -588, -630, -735, -882, -980, -1260, -1470, -1764, -2205, -2940, -4410, -8820.