How many integers are there between 300 and 600 that are divisible by 7?

There are 43 integers between 300 and 600 that are divisible by 7.

Finding Integers Divisible by 7

According to the reference, we are looking for natural numbers between 300 and 600 that are completely divisible by 7. This means we're considering numbers from 301 to 599 inclusive.

Here's how we find the answer:

• First Multiple: The first number greater than 300 that is divisible by 7 is 301 (301 / 7 = 43).
• Last Multiple: The last number less than 600 that is divisible by 7 is 595 (595 / 7 = 85).

Calculating the Number of Multiples

To find the total number of integers divisible by 7 within this range, we can use the following formula:

Number of multiples = (Last multiple - First multiple) / 7 + 1

Plugging in our values:

Number of multiples = (595 - 301) / 7 + 1
Number of multiples = 294 / 7 + 1
Number of multiples = 42 + 1
Number of multiples = 43

Therefore, there are 43 integers between 300 and 600 that are divisible by 7.

Feature	Value
First Multiple	301
Last Multiple	595
Number of Multiples	43