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A number is a multiple of 48 if it's a multiple of 3 and 16 at the same time

48 = 2^4 x 3 = 16 x 3

For example 10032 is a multiple of 48 because 1 + 3 + 2 = 6, which means it's a multiple of 3, and ends in 0032, which means it's a multiple of 16

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Divisibility by 48 requires divisibility by 3 AND by 48

  • Divisibility by 3 requires tat the digital root (sum of digits) is divisible by 3.
  • Divisibility by 16 requires that the number formed by the last four digits is divisible by 16.

Of both these are satisfied by a number then it is divisible by 48.

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