Solve this:


A. Use divisibility tests to find which of the following numbers are divisible 

1. by 8
a. 1606        b. 2735         c. 81426         d. 34408        e. 1968     f. 48516

2. by 25
a. 1950    b. 2676      c. 1175         d. 8500    e. 6905      f. 18025

3. by 11
a. 17270    b.. 17207      c. 45353     d. 51111    e. 946       f. 4452

Dear Student,

Please find below the solution to the asked query:

1 ) We know :

Divisibility  rule for ' 8 ' :The last three digits are divisible by 8.then given number also divisible by 8 .

a ) 1606 , Last digit three digits ' 606 ' and that is not divisible by ' 8 ' so ' 1606 ' is not divisible by 8 .

b ) 2735 , Last digit three digits ' 375 ' and that is not divisible by ' 8 ' so ' 2735 ' is not divisible by 8 .

c ) 81426 , Last digit three digits ' 426 ' and that is not divisible by ' 8 ' so ' 81426 ' is not divisible by 8 .

d ) 34408 , Last digit three digits ' 408 ' and that is divisible by ' 8 ' so ' 34408 ' is divisible by 8 .

e ) 1968 , Last digit three digits ' 968 ' and that is divisible by ' 8 ' so ' 81426 ' is divisible by 8 .

f ) 48516 , Last digit three digits '516 ' and that is not divisible by ' 8 ' so ' 48516 ' is not divisible by 8 .


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  • 1
see the last three digits and if it is divisible by 8 then the whole number is divisible by 8.
for example-take 1606 the last three digits are 606.it is not divisible by 8 hence the whole number is not divisible by 8
  • 0
BY 11
17270
SUM OF ODD PLACES
SUM OF EVEN PLACES
1+2+0=3
7+7=14
14-3=11
THEREFORE,17270 IS DIVISIBLE BY 11
  • -1
BY 11
17207
SUM OF ODD PLACES
SUM OF EVEN PLACES
1+2+7=10
7+0=7
10-7=3
THEREFORE,17207 IS NOT DIVISIBLE BY 11.
  • 1
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