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There are 67 numbers between 100 and 500 divisible by 6.
The first number greater than 100 divisible by 6:
100 ÷ 6 = 16 r 4 → first number divisible by 6 is 6 × 17 = 102
Last number less than 500 divisible by 6:
500 ÷ 6 = 83 r 2 → last number divisible by 6 is 6 × 83 = 498
→ all multiples of 6 between 17 × 6 and 83 × 6 inclusive are the numbers between 100 and 500 that are divisible by 6.
→ there are 83 - 17 + 1 = 67 such numbers.
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How many numbers between 1 and 100 are divisible by 2?
There are 49 numbers between 1 and 100 that are divisible by two.
How many of the whole numbers between 1 to 100 are divisible by 3?
33 numbers between 1 and 100 are divisible by 3.
How many numbers between 0 and 100 are divisible by 4?
Since 100/4 = 25, there are 25 numbers between 0 and 100 divisible by 4.
How many numbers are divisible by 7 between 4 and 100?
14 of them.
How many numbers between 1 and 100 inclusive are divisible by 9 or 4?
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.
