You are watching: The number 100 is divisible by which whole numbers

A number is divisible by 4 if that last two digits space divisible through 4.The last 2 digits the 44,422 are 22.22 is no a lot of of 4.We know this because fifty percent of 22 is 11 and then half of 11 is 5.5, i beg your pardon is no a whole number.22 is no a many of 4 and so, 44,422 is not a many of 4 either.

Divisibility through 4: interaction QuestionsDivisibility by 4: interactive Questions2-Digit Divisibility by 4: interactive Questions2-Digit Divisibility through 4: interaction QuestionsDivisibility by 4 Worksheets and also Answers

The very first step is to look in ~ the critical 2 digits of the number.The last 2 digits the 732 space 32.The next step if to decide if the critical 2 digits space divisible by 4.32 have the right to be halved and also then halved again to provide a entirety number. 32 ÷ 2 = 16 and then 16 ÷ 2 = 8. 32 is a lot of of 4 since it is 4 × 8.32 is divisible by 4 and also so, 732 is divisible by 4.This way that 732 deserve to be separated exactly by 4.732 separated by 4 is 183.The divisibility by 4 dominance only tells us if a number is divisible by 4 but it does no tell united state the answer come the division.Here is an example of using the divisibility by 4 dominance to prove the a number is not divisible by 4.We have 44,422.The last two digits space 40.40 is a lot of of 4 and also so, 3740 is too.We can see the 40 can be halved and also halved again to do 10. 40 is 10 lots of 4.Why does the Divisibility by 4 rule Work?

**The preeminence for divisibility through 4 works because 4 divides exactly into all multiples the 100. The hundreds component of the number is constantly divisible through 4 so only the digits in the tens and ones columns need checking. If the last 2 digits are divisible through 4, the number is divisible by 4.**All multiples of 100 are divisible by 4. This is because 4 × 25 = 100. If 4 divides specifically into 100, the divides specifically into all multiples the 100 such as 200 and 300.100 is divisible through 4 and so we simply need to inspect if 16 is divisible by 4 too. If both 100 and also 16 are divisible through 4, climate 116 is also divisible through 4.We just inspect the last 2 digits that 16.16 is divisible by 4 due to the fact that we deserve to halve it and halve the again to leaving a totality number.16 is 4 lots of 4.64 deserve to be halved to obtain 32 and halved again to get 16. 64 is 16 × 4.64 is divisible through 4 and so, 52,164 is additionally divisible by 4.Halve and Halve Again Strategy

**The halve then halve again strategy is a technique used come divide larger numbers through 4. Separating by 4 is the same as splitting by 2 and also then dividing by 2 again. This method is offered to break down more facility divisions into much more manageable steps.**For example to divide 20 by 5, us halve 20 and also then halve it again.Half of 20 is 10. 10 is an even number and we have the right to halve that again.Half the 10 is 5. Because of this 20 ÷ 4 = 5.Half that 60 is 30. We deserve to see that 30 ends in a 0 and also so, that is even.60 must be divisible by 4 since it gives an also number once halved.Half the 30 is 15 and so, 4 × 15 = 60. 4 divides right into 60 fifteen times.List of numbers Divisible by 4

**There space 25 numbers in between 0 and also 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: Which Function Is Shown In The Graph Below? ? A) Y=(1/2)^X+3

Because 100 ends in a 0 the sample 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 room 25 multiples the 4 for each hundreds numbers. If you recognize the first 25 two-digit multiples of 4, then these very same two digits are in every many of 4.

See more: Which Function Is Shown In The Graph Below? ? A) Y=(1/2)^X+3