100
To find how many numbers between 1 and 300 are divisible by 3 or 4, we can use the principle of inclusion-exclusion. The count of numbers divisible by 3 is ( \lfloor 300/3 \rfloor = 100 ), and those divisible by 4 is ( \lfloor 300/4 \rfloor = 75 ). The numbers divisible by both (i.e., by 12) are ( \lfloor 300/12 \rfloor = 25 ). Thus, the total count is ( 100 + 75 - 25 = 150 ). Therefore, there are 150 numbers between 1 and 300 that are divisible by either 3 or 4.
Numbers that end in 0 or 5 are all divisble by 5
There are 98 numbers are between 1 and 100 that are divisible by five.
There are 66 numbers between 1 and 100 that are divisible by two or three.
There are 466 numbers between 1 and 1,000 that are divisible by three or five.
between 1 and 600 inclusive there are:300 numbers divisible by 2200 numbers divisible by 3100 numbers divisible by both 2 and 3400 numbers divisible by 2 or 3.
50 of them if you count 300.
To find how many numbers between 1 and 300 are divisible by 3 or 4, we can use the principle of inclusion-exclusion. The count of numbers divisible by 3 is ( \lfloor 300/3 \rfloor = 100 ), and those divisible by 4 is ( \lfloor 300/4 \rfloor = 75 ). The numbers divisible by both (i.e., by 12) are ( \lfloor 300/12 \rfloor = 25 ). Thus, the total count is ( 100 + 75 - 25 = 150 ). Therefore, there are 150 numbers between 1 and 300 that are divisible by either 3 or 4.
150 ÷ 9 = 16 r 6 → the first natural number between 150 and 300 divisible by 9 is 9 × 17 (=154)300 ÷ 9 = 33 r 3 → the last natural number between 150 and 300 divisible by 9 is 9 × 33 (=297)→ there are 33 - 17 + 1 = 17 natural numbers between 150 and 300 divisible by 9.
Just count up to 300 by 5. 5, 10, 15, 20, 25 and so on.
Every 4th number, remembering that 300 is not inside this range: 296/4=74
Numbers that end in 0 or 5 are all divisble by 5
There are 98 numbers are between 1 and 100 that are divisible by five.
There are 89 numbers between 1 and 180 that are divisible by two.
There are 29 numbers between 1 and 150 that are divisible by five.
There are 66 numbers between 1 and 1,000 that are divisible by 15.
21