Array Display

Array Displays
Twelve's array display
Debut	Twelve
Latest Appearance	Space Division (One Hundred Array Display)

Array Displays are objects in the Numberblocks franchise. They first appeared in the episode Twelve.

Appearance

An array display are watches worn on Numberblocks' arm, usually the left arm, that can display all of the rectangular arrays that Numberblock can make. Only super rectangles and higher (6 or more rectangular arrays) have array displays, and they usually match the colour of their place values.

Known Numberblocks with Array Displays

Below shows the Numberblocks with array displays. Numbers in blue are highly composite numbers, i.e. they have more divisors than any smaller Numberblock.

Number	Factorization	Divisors	Number of divisors
Twelve (12)	$2^2\cdot3$	1, 2, 3, 4, 6 and 12	6
Eighteen (18)	$2\cdot3^2$	1, 2, 3, 6, 9 and 18	6
Twenty (20)	$2^2\cdot5$	1, 2, 4, 5, 10 and 20	6
Twenty-Four (24)	$2^3\cdot3$	1, 2, 3, 4, 6, 8, 12 and 24	8
Twenty-Eight (28)	$2^2\cdot7$	1, 2, 4, 7, 14 and 28	6
Thirty (30)	$2\cdot3\cdot5$	1, 2, 3, 5, 6, 10, 15 and 30	8
Thirty-Two (32)	$2^5$	1, 2, 4, 8, 16 and 32	6
Thirty-Six (36)	$2^2\cdot3^2$	1, 2, 3, 4, 6, 9, 12, 18 and 36	9
Forty (40)	$2^3\cdot5$	1, 2, 4, 5, 8, 10, 20 and 40	8
Forty-Two (42)	$2\cdot3\cdot7$	1, 2, 3, 6, 7, 14, 21 and 42	8
Forty-Five (45)	$3^2\cdot5$	1, 3, 5, 9, 15 and 45	6
Forty-Eight (48)	$2^{4}or4^{2}\cdot 3$	1, 2, 3, 4, 6, 8, 12, 16, 24 and 48	10
Fifty (50)	$2\cdot5^2$	1, 2, 5, 10, 25 and 50	6
Fifty-Four (54)	$2\cdot3^3$	1, 2, 3, 6, 9, 18, 27 and 54	8
Fifty-Six (56)	$2^3\cdot7$	1, 2, 4, 7, 8, 14, 28 and 56	8
Sixty (60)	$2^2\cdot3\cdot5$	1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60	12
Sixty-Three (63)	$3^2\cdot7$	1, 3, 7, 9, 21 and 63	6
Sixty-Four (64)	$2^{6}or4^{3}$	1, 2, 4, 8, 16, 32, and 64	7
Seventy (70)	$2 \cdot 5 \cdot 7$	1, 2, 5, 7, 10, 14, 35 and 70	8
Seventy-Two (72)	$2^3\cdot3^2$	1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72	12
Eighty (80)	$2^{4}or4^{2}\cdot 5$	1, 2, 4, 5, 8, 10, 16, 20, 40 and 80	10
Ninety (90)	$2\cdot3^2\cdot5$	1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90	12
One Hundred (100)	$2^2\cdot5^2$	1, 2, 4, 5, 10, 20, 25, 50 and 100	9

Unknown Numberblocks with Array Displays

Below is a table showing compound Numberblocks who have at least 6 factors. They are eligible for an array display once they are figured out. (Below 100)

Number	Factorization	Divisors	Number of divisors
Forty-Four (44)	$2^2\cdot11$	1, 2, 4, 11, 22 and 44	6
Fifty-Two (52)	$2^2\cdot13$	1, 2, 4, 13, 26 and 52	6
Sixty-Six (66)	$2\cdot3\cdot11$	1, 2, 3, 6, 11, 22, 33 and 66	8
Sixty-Eight (68)	$2^2\cdot17$	1, 2, 4, 17, 34 and 68	6
Seventy-Five (75)	$3\cdot5^2$	1, 3, 5, 15, 25 and 75	6
Seventy-Six (76)	$2^2\cdot19$	1, 2, 4, 19, 38 and 76	6
Seventy-Eight (78)	$2\cdot3\cdot13$	1, 2, 3, 6, 13, 26, 39 and 78	8
Eighty-Four (84)	$2^2\cdot3\cdot7$	1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84	12
Eighty-Eight (88)	$2^3\cdot11$	1, 2, 4, 8, 11, 22, 44, 88	8
Ninety-Two (92)	$2^2\cdot23$	1, 2, 4, 23, 46, 92	6
Ninety-Six (96)	$2^5\cdot3$	1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96	12
Ninety-Eight (98)	$2\cdot7^2$	1, 2, 7, 14, 49, 98	6
Ninety-Nine (99)	$3^{2}\cdot 11$	1, 3, 9, 11, 33, 99	6

Episode Appearances

See the appearances section on the pages of every Numberblock listed above.

Gallery

12's Array Display

18's Array Display

20's Array Display

24's Array Display

28's Array Display

30's Array Display

32's Array Display

36's Array Display

40's Array Display

42's Array Display

45's Array Display

48's Array Display

50's Array Display

54's Array Display

56's Array Display

60's Array Display

63's Array Display

70's Array Display

72's Array Display

80's Array Display

90's Array Display

100's Array Display

Trivia

• Compound Numberblocks also have array displays (even if the number is prime or have very little divisors), as all the multiples of 10 (excluding Ten herself) have array displays/are super rectangles.
• Even though Forty-Eight has 10 factors, we only see her make two rectangular arrangements: 6×8 and 8×6.
• Sixty-Four has 7 factors, but she doesn't have an array display. This is likely an error, as it is explicitly stated that she's a super-rectangle.
  • Maybe it is because Sixty-Four stated she’s a rectangle in her first quote, and probably she can jump out rays and rearrange without using the display on the rays track.
• There is a trick for being a Super Rectangle, referred to as the "Four" trick. Any multiple of 4 (excluding 4, 8 and 16) is a super rectangle. This gives numbers like 12, 20, 28, 44, 52, 68, 76 and 92 an easy way to be a super rectangle.
• All Numberblocks whose last digit is zero are a super rectangle except Ten.
• 52 is the first multiple of thirteen to be a super rectangle, and 78 the first multiple of thirteen to be a super duper rectangle.
• 45, 63, 75 and 99 are the only super rectangles to be an odd number. (under 100)

Objects in the Learningblocks series

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Alphablocks	Letters, List of objects in Alphaland
Numberblocks	Numberlings, Magic Mirror, Food, Rainbows, Number Express, Array Display, List of Clubs, List of objects in Numberland
Colourblocks	Objects Colourblocks have interacted with