There are 166 numbers between 1 and 1000 that are divisible by 6.
Understanding the Calculation
To find the number of multiples of 6 between 1 and 1000, we can use simple division. We divide 1000 by 6:
1000 รท 6 = 166.666...
Since we're only interested in whole numbers divisible by 6, we take the integer part of the result, which is 166. This means there are 166 multiples of 6 between 1 and 1000 (inclusive).
Supporting Evidence from References
Several references support this answer:
- One source explicitly states, "There are 166 integers between 1 and 1,000 which are divisible by 6." http://people.math.sfu.ca/~alspach/mag25/
- Another source uses the modulo operator (mod) to arrive at the same conclusion: "1000 mod 6 = 166". https://www.quora.com/How-many-numbers-less-the-1-000-are-divisible-by-6
- Other sources demonstrate the calculation through different approaches, consistently reaching the answer of 166.
Example Multiples of 6
The first few multiples of 6 in this range are: 6, 12, 18, 24, 30... and the last one is 996.
