Question

List of numbers divisible by 7 between 100 and 700

Answer 1

The list of numbers divisible by 7 between 100 and 700 starts from 105 and ends at 700, incremented by 7 for each subsequent number, resulting in a total of 86 numbers within the given range.

Step-by-step explanation:

To find the list of numbers divisible by 7 between 100 and 700, one needs to use the divisibility rule for 7 or find the first number greater than 100 that is divisible by 7 and then add 7 successively to generate the list. A number is divisible by 7 if when you double the last digit and subtract it from the rest of the number, you get a result that is either 0 or divisible by 7. However, a quicker method to find our list is to find the smallest number greater than 100 that is divisible by 7, which in this case would be 105 (since 14 x 7 = 98 and 15 x 7 = 105), and the largest number less than 700 divisible by 7, which is 700 itself (since 100 x 7 = 700).

We can then create our list by simply adding 7 to each subsequent number starting from 105 until we reach 700. This gives us a complete list of numbers divisible by 7 in that range:

1. 105
2. 112
3. 119
4. 126
5. 
   
6. and so on until we reach:
7. 
   
8. 686
9. 693
10. 700

There are a total of 86 numbers that are divisible by 7 between 100 and 700.