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How many 2 digit numbers are divisible by 3?
Starting at 12 and ending at 99, there are 30 two-digit numbers divisible by three.
How many 3 digit numbers are divisible by 6 in all?
There are 151 3-digit numbers that are divisible by 6.
How many positive three digit integers are divisible by neither 2 nor 3?
There are 300 three digit numbers that are divisible by neither 2 nor 3. There are 999 - 100 + 1 = 900 three digit numbers. 100 ÷ 2 = 50 → first three digit number divisible by 2 is 50 × 2 =100 999 ÷ 2 = 499 r 1 → last three digit number divisible by 2 is 499 × 2 = 998 → there are 499 - 50 + 1 = 450 three digit numbers divisible by 2. 100 ÷ 3 = 33 r 1 → first three digit number divisible by 3 is 34 × 3 = 102 999 ÷ 3 = 333 → last three digit number divisible by 3 is 333 × 3 = 999 → there are 333 - 34 + 1 = 300 three digit numbers divisible by 3. The lowest common multiple of 2 and 3 is 6, so these have been counted in both those divisible by 2 and those divisible by 3. 100 ÷ 6 = 16 r 4 → first three digit number divisible by 6 is 17 × 6 = 102 999 ÷ 6 = 166 r 3 → last three digit number divisible by 6 is 166 × 6 = 996 → there are 166 - 17 + 1 = 150 → there are 450 + 300 - 150 = 600 three digit numbers that are divisible by either 2 or 3 (or both). → there are 900 - 600 = 300 three digit numbers that are divisible by neither 2 nor 3.
How many 3 digit number are divisible by 5?
There are 180 3-digit numbers divisible by five.
How many three-digit numbers are divisible by 17?
Well, isn't that a happy little question! To find out how many three-digit numbers are divisible by 17, we can simply divide the largest three-digit number by 17 and see how many whole numbers we get. By doing this, we can see that there are 47 three-digit numbers that are divisible by 17. Just imagine all those numbers lining up like little trees in a peaceful forest!
