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How many numbers are there between 300 and 700 that are divisible by 4?

Question

How many numbers are there between 300 and 700 that are divisible by 4?

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Solution

To find the numbers between 300 and 700 that are divisible by 4, follow these steps:

  1. Find the first number greater than 300 that is divisible by 4. This is done by dividing 300 by 4, which gives 75 with no remainder. Therefore, 300 is divisible by 4.

  2. Find the last number less than 700 that is divisible by 4. This is done by dividing 700 by 4, which gives 175 with a remainder. Therefore, 700 is not divisible by 4, but the next smallest number, 696, is.

  3. Now, we need to find how many numbers there are between 300 and 696, inclusive, that are divisible by 4. This is done by subtracting the first quotient (75) from the second quotient (174), and then adding 1.

So, 174 - 75 + 1 = 100.

Therefore, there are 100 numbers between 300 and 700 that are divisible by 4.

This problem has been solved

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