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Maths Puzzle
the number of perfect cubes between 1 and 1000009 which are exactly divisible by 9 is
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- 33 perfect cubes are exactly divisible by 9.
100^3= 100 00 00
the number of perfect cubes between 1 and 1000009 is 100.
From 1 to 100, 33 numbers ( like 3,6,9,...96,99) are divisible by 3 whose cube will be exactly divisible by 9. - 12 years agoHelpfull: Yes(8) No(1)
- 27 * a^3 is always divisible by 9
27 * 33^3 = 970299 is the greatest number less than 1000009 divisible by 9
Excluding 1
=> (33 - 1) = 32 perfect cube numbers divisible by 9 - 12 years agoHelpfull: Yes(0) No(3)
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