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Number Theory
Level
2
The number 4 is the first positive integer to have more divisors than the numbers 1 lesser than and 1 more than it.
What is the first positive integer to have more divisors than the numbers 2 lesser than, 1 lesser than, 1 more than and 2 more than it?
The answer is 12.
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1 solution
Takes a bit of thinking but is easy once you put your mind to it:
So we know 4 is divisible by 1&2, right?
X=answer
6 is divisible by 3,1&2. But do 6*2 to get 12, 12 is divisible by 1,2,3,4&6. 9 is divisible by 1&3 15 is divisible by 1,3&5 So X=12