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.
There are 300 such numbers.
90
To be divisible by 5, the last digit must be 0 or 5. The last digit of 28 is neither 0 nor 5, so it is not divisible by 5.
Counting 10000, there are 17999.
Three of them.
28
the range of three-digit integers is from 100 to 999. Therefore, there are 300 positive three-digit integers that are divisible by neither 2 nor 3.1 day ago
22 of them.
Of the 729 numbers that satisfy the requirement of positive integers, 104 are divisible by 7.
No, positive integers ending with the digit 5 are divisible by 5.
Select all the numbers that $4221462$ is divisible by.
18 positive integers and 36 integers (negative and positive)
100 to 999 is your range. there are 900 integers in this range. 450 are not divisble by 2 ( the odd ones). 600 are not divisble by 3. half of these are even so only an additional 300 integers are not divisble by 3 alone. so 450 & 300 =750
90
44
There are 10 one digit positive integers (0 - 9) and 9 one digit negative integers (-9 to -1) making 19 in all.
the answer would be 900
362880 is one possibility.