Easy Trick for Identifying Even Numbers

How can you quickly tell if a number is even without doing division?

1 Answers

āœ“ Best Answer

🧐 The Even Number Trick

Identifying even numbers is easier than you might think! The key is to focus on the last digit. Here's the simple rule:

  • šŸ‘‰ An even number is any whole number that is exactly divisible by 2.
  • šŸ‘‰ Look at the last digit (the one in the ones place) of the number.

āœ… The Last Digit Test

If the last digit is 0, 2, 4, 6, or 8, then the entire number is even. Let's look at some examples:

  • 124: The last digit is 4, so it's even.
  • 36: The last digit is 6, so it's even.
  • 1980: The last digit is 0, so it's even.
  • 579: The last digit is 9, so it's not even.

šŸ’» Code Example (Python)

Here's how you could check for even numbers in Python:


def is_even(number):
    return number % 2 == 0

print(is_even(124))  # Output: True
print(is_even(579))  # Output: False

In this code, the % operator (modulo) gives the remainder of a division. If the remainder when dividing by 2 is 0, the number is even.

āž• Why This Works

This trick works because of the base-10 number system we use. Any number can be expressed as a sum of multiples of powers of 10 plus its last digit. For example:

124 = (1 * 100) + (2 * 10) + 4

Since 10, 100, 1000, and all higher powers of 10 are divisible by 2, only the last digit determines whether the entire number is even!

āœļø Practice Time

Try these numbers: 35, 188, 2021, 9998. Which ones are even? Use the trick!

Know the answer? Login to help.