There are 53 integers between 300 and 1000 that are divisible by 13.
Finding the Solution
To determine the number of integers divisible by 13 within the specified range, we can follow these steps:
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Find the smallest multiple: The smallest multiple of 13 greater than or equal to 300 is 312 (13 x 24).
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Find the largest multiple: The largest multiple of 13 less than or equal to 1000 is 988 (13 x 76).
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Calculate the count: To find the number of multiples, we subtract the starting multiple's index from the ending multiple's index and add 1: 76 - 24 + 1 = 53.
Therefore, there are 53 integers between 300 and 1000 that are divisible by 13. This is supported by various online resources and calculations, including the information provided in the references. The Quora link, for example, explicitly states this answer.
Further Clarification
The references confirm the solution through different approaches, demonstrating the consistency of the answer. Some examples show similar calculations for other divisors and ranges, highlighting the general methodology.
