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There are many numbers between 500 and 1000 divisible by 3 and 9. Any number divisible by 9 is divisible by 3. How about 900?

Q: What is a number in between 500 and 1000 that is divisible of 3 and 9?

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The greatest number between 450 and 500 that is divisible by six is 498.

You can calculate this as follows: (500 + 1000) / 2

251

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.

Interesting questions, here's how I look at it... Another way of asking the questions is how many multiples of 2 or 5 are there between 1 and 1000. Well if you look at '2' you can start counting the number of terms that 2 is multiplied by another number and their result is less then 1000. For instance, 2*1=2 (so that is one), 2*2=4 (so that is two), 2*3=6 (so that is three) and so on until you get to 2*500=1000. So any number greater then 500 would be larger than 1000. Now, notice that there would be 500 different numbers you could multiple 2 by up to 1000. So there must be 500 terms that are divisible by 2. We repeat this for 5: 5*1=5 (there is the first), 5*2=10 (there is the second)... 5*200=1000. Using the same method as before, you can conclude there are 200 terms that are divisible by 5. Here is where it gets interesting; it would be easy to just say well 500+200=700 terms. But this would not be correct, because each number can only be counted once so terms like 10, 20, 30 were counted for both 2 and 5. So how many terms were double counted, we fortunately we can use the same method as above realizing that this occurred for all number which are a multiple of the product of 2 and 5--so multiples of 10. How many multiples of 10 are there between 1 and 1000? Well, there are 100. So, how many numbers between 1 and 1000 are divisible by 2 or 5? It should be the number of terms divisible by 2 plus the number of terms divisible by 5 minus the number of duplicate terms. 500+200-100 = 600

Related questions

The greatest number between 450 and 500 that is divisible by six is 498.

You can calculate this as follows: (500 + 1000) / 2

500

251

453

The number is 750.

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.

How about 450

510,540,570,

503

432, 468

408 = 12 x 34