Graduate Management Admission Test (GMAT) Practice Test

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What is the result of multiplying an even number by any number?

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When an even number is multiplied by any other number, the result is always even. An even number is defined as any integer that can be expressed in the form \( 2n \), where \( n \) is an integer. When you multiply this form by another integer \( m \), the product can be expressed as \( 2n \times m = 2(n \times m) \). Since \( n \) and \( m \) are both integers, their product \( (n \times m) \) is also an integer. Therefore, the final result is expressed as \( 2 \) multiplied by an integer, which confirms that the result is even.

This principle holds true regardless of whether the other number is even, odd, positive, or negative. The key takeaway is that the even characteristic of the number is preserved in the product, thus leading to the conclusion that multiplying any even number by any number always yields an even result.

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