Table of Contents

## How many numbers are there between 1 and 1000 which are divisible by 7?

142 numbers

Because to get numbers between 1 to 1000 which are divisible by 7 can be calculated very easily just only by dividing 1000 by 7, 1000/7=142.8571, so 142 numbers are there between 1 to 1000 are divisible by 7, thus option (b) is the right answer.

**How do you check divisibility by 14?**

The divisibility rule for 14 is that if the number is divisible by both 2 and 7 then the number is exactly divisible by 14.

### How many digits are there between 1 and 1000?

Now let us look at the numbers from 1 to 1000. To write all these numbers down, we need to use 9 + 180 + 2700 + 4 = 2893 digits to accommodate the 9 single-digit numbers, the 90 double-digit numbers, the 900 triple-digit numbers and the number 1000. How may zeros did we need?

**How many integers lie between 300 and 1000 which are exactly divisible by 13?**

Take 1000 – 300 = 700 / 13 = 58.3 and so there are 58 factors between 300 and 1000.

#### How many numbers between 1 & 1000 are divisible by 7?

So there are 142 numbers divisible by 7 are there between 1 & 1000. Number divisible by 7 just below 1000 is 994. 994 /7 = 142 numbers. We can find how many numbers divisible by 7 are there between 1 & 1000. So there are 142 numbers divisible by 7 are there between 1 & 1000.

**What is the largest number less than 1000 which is divisible 15?**

First number divisible by 15 is 15 itself. Then the next number is 30, 45 and so on. 1000 \% 15 = 10 . Hence the largest number less than 1000 which is divisible by 15 is 990.

## How do you find the largest number divisible by 3?

A short explanation. The number of integers divisible by 3 less or equal to 1000 is the largest number divisible by 3 (999) divided by 3. If we add the numbers together we get the number of integers divisible by 3 or 5. However ee note that we counted the numbers divisible by both 3 and 5 twice.

**How many negative integers are there between -8 and -17?**

Another way to look at this one is to chop it up: between -8 and 17 there are 8 negative integers (-1 through -8), 17 positive integers (1 through 17), and 0 as one more integer. 8 + 17 + 1 = 26.