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DIVISIBILITY OF 7
• Divisibility by 7
    – Unfortunately, the rule of thumb for 7 is not
      straightforward and you may prefer long division.
    – However here is one approach:
       • Divisibility of n by 7 is unaltered by taking the last digit
         of n
       • subtracting its double from the number formed by
         removing the last digit from n.
.
Is 3976 divisible by 7?
         3976    x2


         −12__        We don’t know if 385
                      is a multiple of 7 or
          385         not, so we continue
                      the procedure.


          385 x2
         ─10__        Since 28 is a multiple
                      of 7, it must be that
          28          both 385 and 3976
                      are multiples of 7.

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Divisibility of 7 MTE3101

  • 2. • Divisibility by 7 – Unfortunately, the rule of thumb for 7 is not straightforward and you may prefer long division. – However here is one approach: • Divisibility of n by 7 is unaltered by taking the last digit of n • subtracting its double from the number formed by removing the last digit from n. .
  • 3. Is 3976 divisible by 7? 3976 x2 −12__ We don’t know if 385 is a multiple of 7 or 385 not, so we continue the procedure. 385 x2 ─10__ Since 28 is a multiple of 7, it must be that 28 both 385 and 3976 are multiples of 7.