Categories
Gosforth Central Middle School Maths

Factors Challenge

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Every number underlined is a factor of 60.

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41
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60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Other numbers below 100 also with 12 factors:

721, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
841, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Every number underlined is a factor of 36.

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40

1, 2, 3, 4, 6, 9, 12, 18, 36

Other numbers greater than 1 and less than 100 with an odd number of factors:

41, 2, 4
91, 3, 9
161, 2, 4, 8, 16
251, 5, 25
491, 7, 49
641, 2, 4, 8, 16, 32, 64
811, 3, 9, 27, 81

All of these numbers are square numbers, as by having a number that multiplies by itself to create that number (eg 5 x 5 = 25), you get an odd number of factors.


All numbers underlined are multiples of 13 that have digits that add up to 13.

104117130
143156169
182195208
221234247
260273286
299312325
338351364
377390403
416429442
455468481
494507520
533546559
572585598
611624637
650663676
689702715
728741754
767780793
806819832
845858871
884897910
923936949
926975988

247, 364, 481, 715, 832

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