There are 12 integers between 1 and 100 that are divisible by 8.
Understanding Divisibility by 8
To find the number of integers divisible by 8 between 1 and 100, we can use a simple method. We first find the largest multiple of 8 that is less than or equal to 100. This is 96 (8 x 12). Since every eighth number is divisible by 8, there are 12 such integers (from 8 to 96).
Examples
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Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
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Calculation: 100 divided by 8 is 12 with a remainder of 4. The quotient (12) represents the number of multiples of 8 within the range.
Further Insights from References
Several references support this calculation. For instance, one reference directly lists the multiples of 8 up to 96: "Now, the numbers which are divisible by 8 are: 8,16,24,32,40,48,56,64,72,80,88,96. That is, we have in total 12 numbers which are divisible by 8." Other references demonstrate similar approaches to finding the number of multiples of a given number within a specific range.
