How many 3 digit numbers are divisible by 6 in all?149150151166

To find the number of 3-digit numbers that are divisible by 6, we need to determine the range of numbers and then check each number to see if it is divisible by 6.

Step 1: Determine the range of 3-digit numbers. A 3-digit number is any number between 100 and 999 (inclusive).

Step 2: Check each number in the range. To check if a number is divisible by 6, we need to see if it is divisible by both 2 and 3. Since 6 is a multiple of both 2 and 3, a number is divisible by 6 if it is divisible by both 2 and 3.

Step 3: Count the numbers that are divisible by 6. Starting from 100, we check each number in the range to see if it is divisible by 6. If a number is divisible by 6, we increment a counter by 1.

Let's go through the process:

Starting from 100: 100 is not divisible by 6. 101 is not divisible by 6. 102 is divisible by 6. 103 is not divisible by 6. 104 is not divisible by 6. 105 is divisible by 6. 106 is not divisible by 6. 107 is not divisible by 6. 108 is divisible by 6. 109 is not divisible by 6. 110 is not divisible by 6. ... Continue this process until we reach 999.

After checking all the numbers, we count the total number of numbers that are divisible by 6.

Please note that I cannot provide the exact count without going through each number individually.