There are 33 numbers divisible by 6 from 1 to 200.
This can be easily calculated by dividing 200 by 6 and taking the floor (integer part) of the result. The calculation is: 200 ÷ 6 ≈ 33.33. Since we're only interested in whole numbers divisible by 6, we round down to 33.
Understanding the Calculation
- Divisibility: A number is divisible by another if the result of their division is a whole number (no remainder).
- Method: To find how many numbers divisible by 6 exist within a range (1 to 200 in this case), we divide the upper limit of the range (200) by the divisor (6). The integer portion of the result provides the count.
Examples of Numbers Divisible by 6 (1-200)
The first few numbers divisible by 6 in this range are: 6, 12, 18, 24, 30... and the last is 198.
A simple way to list them would be to use a simple loop or an arithmetic series.
- Arithmetic Sequence: This sequence forms an arithmetic progression with a common difference of 6.
References Supporting the Answer
Multiple sources confirm this answer:
- Vedantu states explicitly: "Therefore, 198 is the 33rd number divisible by 6. So, there are 33 numbers divisible by 6 from 1 to 200." (https://www.vedantu.com/question-answer/an-integer-is-chosen-at-random-from-the-first-class-12-maths-cbse-5f6cb1b0d053ee34ae940d28)
