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Find the smallest positive integer N with the following property: of the three numbers N, N+1, and N+2, one of them is divisible by \(2^2 \), one of them is divisible by \(3^2\), one is divisible by \(5^2\), and one is divisible by \(7^2\).

Any help would be appriciated. Thank you for your time!

 Nov 6, 2019
 #1
avatar+105238 
+2

Here's what I get

 

98, 99 , 100

 

98  is divisible by 72

99 is divisible by 32

100 is divisible by 22  and 52

 

 

 

cool cool cool

 Nov 6, 2019
 #2
avatar+64 
+1

Thank you so much! I get it now. 

 Nov 6, 2019

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