There are 28 numbers divisible by 14 between 200 and 600.
To determine this, we need to find the first and last multiples of 14 within the specified range.
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First Multiple: Divide 200 by 14. 200 / 14 ≈ 14.29. This means that 14 15 is the first multiple of 14 greater than 200. 14 15 = 210.
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Last Multiple: Divide 600 by 14. 600 / 14 ≈ 42.86. This means that 14 42 is the last multiple of 14 less than 600. 14 42 = 588.
Now we need to find how many multiples of 14 are between 14 15 and 14 42, inclusive. This is equivalent to finding how many integers are between 15 and 42, inclusive.
The number of integers from 15 to 42 (inclusive) is 42 - 15 + 1 = 28.
Therefore, there are 28 numbers divisible by 14 between 200 and 600.
