Factors of 7800 in pair are (1, 7800) , (2, 3900) , (3, 2600) , (4, 1950) , (5, 1560) , (6, 1300) , (8, 975) , (10, 780) , (12, 650) , (13, 600) , (15, 520) , (20, 390) , (24, 325) , (25, 312) , (26, 300) , (30, 260) , (39, 200) , (40, 195) , (50, 156) , (52, 150) , (60, 130) , (65, 120) , (75, 104) and (78, 100)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 7800 | 1 x 7800 = 7800 |
| 2 and 3900 | 2 x 3900 = 7800 |
| 3 and 2600 | 3 x 2600 = 7800 |
| 4 and 1950 | 4 x 1950 = 7800 |
| 5 and 1560 | 5 x 1560 = 7800 |
| 6 and 1300 | 6 x 1300 = 7800 |
| 8 and 975 | 8 x 975 = 7800 |
| 10 and 780 | 10 x 780 = 7800 |
| 12 and 650 | 12 x 650 = 7800 |
| 13 and 600 | 13 x 600 = 7800 |
| 15 and 520 | 15 x 520 = 7800 |
| 20 and 390 | 20 x 390 = 7800 |
| 24 and 325 | 24 x 325 = 7800 |
| 25 and 312 | 25 x 312 = 7800 |
| 26 and 300 | 26 x 300 = 7800 |
| 30 and 260 | 30 x 260 = 7800 |
| 39 and 200 | 39 x 200 = 7800 |
| 40 and 195 | 40 x 195 = 7800 |
| 50 and 156 | 50 x 156 = 7800 |
| 52 and 150 | 52 x 150 = 7800 |
| 60 and 130 | 60 x 130 = 7800 |
| 65 and 120 | 65 x 120 = 7800 |
| 75 and 104 | 75 x 104 = 7800 |
| 78 and 100 | 78 x 100 = 7800 |
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 7800. They are called negative pair factors.
Hence, the negative pairs of 7800 would be ( -1 , -7800 ) .
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 7800 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 20 , 24 , 25 , 26 , 30 , 39 , 40 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 104 , 120 , 130 , 150 , 156 , 195 , 200 , 260 , 300 , 312 , 325 , 390 , 520 , 600 , 650 , 780 , 975 , 1300 , 1560 , 1950 , 2600 , 3900 , 7800. So, factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100).
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 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, and 7800
Yes 7800 is a composite number.
No 7800 is not a prime number.
Factors of 7800 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 20 , 24 , 25 , 26 , 30 , 39 , 40 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 104 , 120 , 130 , 150 , 156 , 195 , 200 , 260 , 300 , 312 , 325 , 390 , 520 , 600 , 650 , 780 , 975 , 1300 , 1560 , 1950 , 2600 , 3900 , 7800. therefore mean of factors of 7800 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 20 + 24 + 25 + 26 + 30 + 39 + 40 + 50 + 52 + 60 + 65 + 75 + 78 + 100 + 104 + 120 + 130 + 150 + 156 + 195 + 200 + 260 + 300 + 312 + 325 + 390 + 520 + 600 + 650 + 780 + 975 + 1300 + 1560 + 1950 + 2600 + 3900 + 7800) / 48 = 542.50.
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.
Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. So, factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100).
Negative factors of 7800 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -20, -24, -25, -26, -30, -39, -40, -50, -52, -60, -65, -75, -78, -100, -104, -120, -130, -150, -156, -195, -200, -260, -300, -312, -325, -390, -520, -600, -650, -780, -975, -1300, -1560, -1950, -2600, -3900, -7800. Hence, factors of 7800 in pair are (-1,-7800), (-2,-3900), (-3,-2600), (-4,-1950), (-5,-1560), (-6,-1300), (-8,-975), (-10,-780), (-12,-650), (-13,-600), (-15,-520), (-20,-390), (-24,-325), (-25,-312), (-26,-300), (-30,-260), (-39,-200), (-40,-195), (-50,-156), (-52,-150), (-60,-130), (-65,-120), (-75,-104), (-78,-100).
Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. Positive factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100). Negative factors of 7800 in pair are (-1,-7800), (-2,-3900), (-3,-2600), (-4,-1950), (-5,-1560), (-6,-1300), (-8,-975), (-10,-780), (-12,-650), (-13,-600), (-15,-520), (-20,-390), (-24,-325), (-25,-312), (-26,-300), (-30,-260), (-39,-200), (-40,-195), (-50,-156), (-52,-150), (-60,-130), (-65,-120), (-75,-104), (-78,-100).
Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. So the product of all factors of 7800 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 13 x 15 x 20 x 24 x 25 x 26 x 30 x 39 x 40 x 50 x 52 x 60 x 65 x 75 x 78 x 100 x 104 x 120 x 130 x 150 x 156 x 195 x 200 x 260 x 300 x 312 x 325 x 390 x 520 x 600 x 650 x 780 x 975 x 1300 x 1560 x 1950 x 2600 x 3900 x 7800 = 2.5719970407685134e+93.
Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. Prime factors are 2, 2, 2, 3, 5, 5, 13. So, the product of all prime factors of 7800 would be 2 x 2 x 2 x 3 x 5 x 5 x 13 = 7800.
Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800.Factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100).
To arrange 7800 blocks in all possible ways to form a rectangle, we need to calculate factors of 7800 in pair. Therefore, factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100)