How many three digit numbers are there divisible by 7

Step 1: Find the smallest three-digit number divisible by 7 The smallest three-digit number is 100. But 100 is not divisible by 7. The next number that is divisible by 7 is 105.

Step 2: Find the largest three-digit number divisible by 7 The largest three-digit number is 999. But 999 is not divisible by 7. The previous number that is divisible by 7 is 994.

Step 3: Count the number of three-digit numbers divisible by 7 The formula to find the number of terms in an arithmetic sequence is n = (l - a)/d + 1, where l is the last term, a is the first term, and d is the common difference.

In this case, l = 994, a = 105, and d = 7.

Substitute these values into the formula to get n = (994 - 105)/7 + 1 = 127.

So, there are 127 three-digit numbers that are divisible by 7.