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Can you multiply an even number to get an odd number?

Published in Mathematics 1 min read

No, you cannot multiply an even number to get an odd number.

Here's why:

  • Definition of Even and Odd Numbers: An even number is any integer that is divisible by 2, while an odd number is any integer that leaves a remainder of 1 when divided by 2.

  • Multiplication and Factors: When you multiply numbers, you are essentially finding a product that is a multiple of both numbers.

  • Even Number as a Factor: Because an even number is divisible by 2, any multiple of an even number will also be divisible by 2.

  • Therefore: Since any product involving an even number is divisible by 2, the result will always be an even number. It's impossible to obtain an odd number.

Example:

  • 2 (even) * 3 (odd) = 6 (even)
  • 4 (even) * 5 (odd) = 20 (even)
  • 2 (even) * 4 (even) = 8 (even)

No matter what you multiply an even number by, the result will always be even.

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