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How Many Numbers Less Than 1000 Are Divisible by 4?

Published in Divisibility Counting 2 mins read

There are 249 numbers less than 1000 that are divisible by 4.

Let's explore this further. We are looking for positive integers less than 1000 that can be divided by 4 with no remainder. We can determine this by using integer division. Integer division (denoted by //) gives us the whole number quotient when dividing two numbers, discarding the remainder.

According to the provided reference:

  • "Assuming positive numbers, the range of numbers will be 1 to 999. We have 999//4 = **249** numbers which are divisible by 4."

This means we take the largest number in our range (999), divide it by 4 using integer division, and the result will be the number of integers within the range divisible by 4.

Here's a breakdown:

  • The range is numbers from 1 to 999.
  • We're looking for multiples of 4 within this range.
  • Integer division of 999 by 4 gives us 249 (999 // 4 = 249).
  • Therefore, 249 numbers between 1 and 999 are divisible by 4.

Examples of numbers divisible by 4 in the range: 4, 8, 12, 16, 20... all the way up to 996. If you divide any of these numbers by 4, you will get a whole number without any remainder.

Here is a table summarizing the answer:

Criteria Value
Range of Numbers 1 to 999
Divisor 4
Number of Divisibles 249

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