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2    Number ends in 0,2,4,6,8.(The         9,489,994 ends in 4, it is
     last digit is even.)                  divisible by 2.
3    Sum of the digits is divisible by 3   897,432 is divisible by 3,
                                           since 8+9+7+4+3+2=33.
4    Last two digits form a number         7,693,432 is divisible by 4,
     divisible by 4.                       since 32 is divisible by 4.
5    Number ends in 0 or 5.                8900 and 7635 are divisible
                                           by 5.
6    Number is divisible by both 2 and     27,342 is divisible by 6 since
     3.                                    it is divisible by both 2 and
                                           3.
8    Last three digits form a number       1,437,816 is divisible by 8,
     divisible by 8.                       since 816 is divisible by 8.
9    Sum of the digits is divisible by 9. 428,376,105 is divisible by 9
                                          since the sum of digits is 36,
                                          which is divisible by 9.
10   Last digit is 0                       897,4663,940 is divisible by
                                           10
12   Number is divisible by both 4 and     376,984,032 is divisible by
     3.                                    12.
123,216
2   Number ends in 0,2,4,6,or 8.( The last digit is
    even)
 The last digit,8, is an even number therefore the
 123,216 is divisible by 2.
3 Sum of the digits is divisible by 3.
 The sum of the digits,15, is divisible by 3
 therefore 123,216 is divisible by 3.
4 Last two digits for a number divisible by 4.
The last two digits 16, are divisible by 4
therefore 123,216 is divisible by 4.
5   Number ends in 5 or 0




6       Number is divisible by both 2 and 3



8       Last three digits form a number divisible by
        8
Sum of the digits is divisible by 9
 9




10 The last digits is 0



12 The number is divisible by both 4 and 3.

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The Number Theory

  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. 2 Number ends in 0,2,4,6,8.(The 9,489,994 ends in 4, it is last digit is even.) divisible by 2. 3 Sum of the digits is divisible by 3 897,432 is divisible by 3, since 8+9+7+4+3+2=33. 4 Last two digits form a number 7,693,432 is divisible by 4, divisible by 4. since 32 is divisible by 4. 5 Number ends in 0 or 5. 8900 and 7635 are divisible by 5. 6 Number is divisible by both 2 and 27,342 is divisible by 6 since 3. it is divisible by both 2 and 3. 8 Last three digits form a number 1,437,816 is divisible by 8, divisible by 8. since 816 is divisible by 8. 9 Sum of the digits is divisible by 9. 428,376,105 is divisible by 9 since the sum of digits is 36, which is divisible by 9. 10 Last digit is 0 897,4663,940 is divisible by 10 12 Number is divisible by both 4 and 376,984,032 is divisible by 3. 12.
  • 9. 123,216 2 Number ends in 0,2,4,6,or 8.( The last digit is even) The last digit,8, is an even number therefore the 123,216 is divisible by 2. 3 Sum of the digits is divisible by 3. The sum of the digits,15, is divisible by 3 therefore 123,216 is divisible by 3. 4 Last two digits for a number divisible by 4. The last two digits 16, are divisible by 4 therefore 123,216 is divisible by 4.
  • 10. 5 Number ends in 5 or 0 6 Number is divisible by both 2 and 3 8 Last three digits form a number divisible by 8
  • 11. Sum of the digits is divisible by 9 9 10 The last digits is 0 12 The number is divisible by both 4 and 3.