0
Still curious? Ask our experts.
Chat with our AI personalities
Jordan
Beau
ReneAdd your answer:
Earn +20 pts
How many numbers between 7500 and 8500 are divisible by 6?
165 if you don't count 7500. 166 if you do.
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.
What is 166 divided by 2?
83
What is 166 divided by 4?
41.5
How many numbers between 100 and 1000 are divisible by 6?
Well, darling, you simply divide the range by the divisor and add 1 if the starting number is divisible by the divisor. In this case, you divide 1000 by 6 and subtract the result of dividing 100 by 6. So, (1000/6) - (100/6) + 1 = 166 - 16 + 1 = 151 numbers between 100 and 1000 are divisible by 6. Hope that tickles your fancy!
