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What is the largest five digit number exactly divisible by 40?

Published in Mathematics 1 min read

The largest five-digit number exactly divisible by 40 is 99960.

Finding the Solution

To find the largest five-digit number divisible by 40, we can follow these steps:

  1. Identify the largest five-digit number: The largest five-digit number is 99999.

  2. Divide by 40: Divide 99999 by 40. 99999 / 40 = 2499.975

  3. Round down to the nearest whole number: Since we need a whole number to multiply by 40, round 2499.975 down to 2499.

  4. Multiply by 40: Multiply 2499 by 40. 2499 * 40 = 99960

Therefore, 99960 is the largest five-digit number that is exactly divisible by 40.

Verification

To verify that 99960 is indeed the largest five-digit number divisible by 40, we can check the next multiple of 40. Adding 40 to 99960 gives us 100000, which is a six-digit number. Therefore, 99960 is the correct answer.

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