how many integers lie between 300 and 1000 , which are exactly divisible by 13
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Take 1000 - 300 = 700 / 13 = 58.3 and so there are 58 factors between 300 and 1000. Another way of thinking about it is to take the first multiple greater than 300 (which is 24. 13=312) and the last multiple less than 1000 (which is 76. 13=988) and the difference including the first number is 76 - 24 = 52 + 1 = 53.
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