A number is divisible by 4 if its last two digits are divisible by 4.A number is also divisible by 4 if it can be halved and then halved again to leave a whole number.To test if a large number is a multiple of 4, we only need to look at the last 2 digits.The last two digits of 732 are 32.32 is divisible by 4 because 32 = 4 × 8.We can also halve 32 to make 16 and halve 16 to make 8. 32 can be halved and halved again so it is a multiple of 4.32 is divisible by 4 and therefore 732 is also divisible by 4.The rule works because 4 divides exactly into 100. This means that all multiples of 100 are divisible by 4.732 = 700 + 32. 700 is divisible by 4 so we only need to check the 32.

You are watching: List of numbers divisible by 4


*

A number is divisible by 4 if its last two digits are divisible by 4.The last two digits of 44,422 are 22.22 is not a multiple of 4.We know this because half of 22 is 11 and then half of 11 is 5.5, which is not a whole number.22 is not a multiple of 4 and so, 44,422 is not a multiple of 4 either.
*
Divisibility by 4: Interactive QuestionsDivisibility by 4: Interactive Questions2-Digit Divisibility by 4: Interactive Questions2-Digit Divisibility by 4: Interactive QuestionsDivisibility by 4 Worksheets and Answers
*

*
The first step is to look at the last 2 digits of the number.The last two digits of 732 are 32.The next step if to decide if the last 2 digits are divisible by 4.32 can be halved and then halved again to give a whole number. 32 ÷ 2 = 16 and then 16 ÷ 2 = 8. 32 is a multiple of 4 because it is 4 × 8.32 is divisible by 4 and so, 732 is divisible by 4.This means that 732 can be divided exactly by 4.732 divided by 4 is 183.The divisibility by 4 rule only tells us if a number is divisible by 4 but it does not tell us the answer to the division.Here is an example of using the divisibility by 4 rule to prove that a number is not divisible by 4.We have 44,422.The last two digits are 40.40 is a multiple of 4 and so, 3740 is too.We can see that 40 can be halved and halved again to make 10. 40 is 10 lots of 4.Why Does the Divisibility by 4 Rule Work?The rule for divisibility by 4 works because 4 divides exactly into all multiples of 100. The hundreds part of the number is always divisible by 4 so only the digits in the tens and ones columns need checking. If the last 2 digits are divisible by 4, the number is divisible by 4.All multiples of 100 are divisible by 4. This is because 4 × 25 = 100. If 4 divides exactly into 100, it divides exactly into all multiples of 100 such as 200 and 300.100 is divisible by 4 and so we just need to check if 16 is divisible by 4 too. If both 100 and 16 are divisible by 4, then 116 is also divisible by 4.We just check the last two digits of 16.16 is divisible by 4 because we can halve it and halve it again to leave a whole number.16 is 4 lots of 4.64 can be halved to get 32 and halved again to get 16. 64 is 16 × 4.64 is divisible by 4 and so, 52,164 is also divisible by 4.Halve and Halve Again StrategyThe halve then halve again strategy is a method used to divide larger numbers by 4. Dividing by 4 is the same as dividing by 2 and then dividing by 2 again. This method is used to break down more complicated divisions into more manageable steps.For example to divide 20 by 5, we halve 20 and then halve it again.Half of 20 is 10. 10 is an even number and we can halve it again.Half of 10 is 5. Therefore 20 ÷ 4 = 5.
*
Half of 60 is 30. We can see that 30 ends in a 0 and so, it is even.60 must be divisible by 4 because it gives an even number when halved.Half of 30 is 15 and so, 4 × 15 = 60. 4 divides into 60 fifteen times.List of Numbers Divisible by 4There are 25 numbers between 0 and 100 that are divisible by 4:4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100.

See more: Starch Is A Polymer Of Glucose, Dietary Polysaccharides

Because 100 ends in a 0 the pattern repeats again for the next 100 numbers.We have:104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200.There are 25 multiples of 4 for each hundred numbers. If you know the first 25 two-digit multiples of 4, then these same two digits are in every multiple of 4.