To accurately answer this question, we need to know the range of numbers. The question is incomplete without specifying the starting and ending points. Let's explore several examples to illustrate how to solve this type of problem.
Example 1: Numbers Between 0 and 100
As stated in the provided reference from Vedantu.com, there are 25 numbers between 0 and 100 divisible by 4. These are 4, 8, 12, ..., 96, 100. This can be calculated by dividing the upper limit (100) by 4 and rounding down (integer division): 100 ÷ 4 = 25.
Example 2: Numbers Between 70 and 203
According to a math.answers.com response, there are 33 numbers between 70 and 203 divisible by 4. The first such number is 72 (4 x 18) and the last is 200 (4 x 50). The number of multiples is 50 - 18 + 1 = 33.
Example 3: Numbers Between 1 and 300
A Brainly.com answer tackles this, although the specific answer isn't provided. The solution would be 300 ÷ 4 = 75. There are 75 numbers between 1 and 300 divisible by 4.
General Method
To find the number of multiples of 4 within any range (a, b), where a and b are integers:
- Find the first multiple: Divide a by 4 and round up to the nearest integer. This gives the starting multiple.
- Find the last multiple: Divide b by 4 and round down to the nearest integer. This gives the ending multiple.
- Calculate the difference: Subtract the starting multiple from the ending multiple and add 1.
For instance, between 150 and 400:
- First multiple: ⌈150/4⌉ = 38 (4 x 38 = 152)
- Last multiple: ⌊400/4⌋ = 100 (4 x 100 = 400)
- Number of multiples: 100 - 38 + 1 = 63
Divisibility Rule of 4
A number is divisible by 4 if its last two digits are divisible by 4 or are 00. Vedantu.com provides more detail on this rule.
