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How many positive five-digit numbers are divisible by each of 7, 8, 9, 10, and 11?

 Oct 20, 2021
 #1
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There are just 3 such numbers:

 

27720 , 55440 , 83160 , Total =  3

 Oct 20, 2021
 #2
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+1

 

How many positive five-digit numbers are divisible by each of 7, 8, 9, 10, and 11?

 

It must be divisable by  7, 2^3, 3^2, 2, 5 and 11

 

That is 7,2^3, 3^2, 5 ,11     (the 2 is included in the 2^3)

 

7*8*9*5*11 = 27720

 

27720*1=27720

27720*2 = 55440

27720*3=  83160

 

that is it.

 Oct 20, 2021
edited by Melody  Oct 20, 2021

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