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Multiplying 4 by any other integer (whole number) gives you a multiple of 4. By this definition, all multiples of 4 are divisible by 4, as dividing a whole number times 4 by 4 will give you a whole number.

Any whole number with:

  • A 4 or 8 in the units position and an even number in the tens position (eg. 4, 8, 24, 44)
  • A 2 or 6 in the units position and an odd number in the tens position (eg. 12, 16, 32, 56)

is a multiple of 4 (because 20≡0 (mod 4), and 10≡2 (mod 4)).

The hundreds, thousands and all other columns are not relevant, because

10n = 2n x 5n

∀n>2, n∈ℤ , 2n=22x2k, where 22,2k∈ℤ

Hence, 10n=4 x 25 x 10k, which means that all multiples of powers of 10 greater than 100 are divisible by 4.

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Q: Which numbers are divisible by 4?
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numbers that are divisible by 4 is either: 4n or numbers in which the number formed by last two digits are divisible by 4


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No. If the last two numbers are not divisible by 4, then the number is not divisible by 4.


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Are all numbers that are divisible by 8 are divisible by 4?

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What are five numbers that are divisible of 4?

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