Step 2: Check whether the result is an integer with no remainder. Since 7 is an integer and the remainder is 0, the number is even. Equivalently, we can write 14 = 2 × 7, which matches the form n = 2k.
14=2×7
Answer: Yes, 14 is an even number because it is a multiple of 2.
Why It Matters
Even and odd numbers are foundational in number theory and appear throughout algebra. Recognizing whether a number is even helps you simplify fractions, factor expressions, and predict patterns — for instance, the sum of two even numbers is always even, and the product of any integer with an even number is always even.
Common Mistakes
Mistake: Thinking 0 is not an even number.
Correction: Zero is even because 0 = 2 × 0, which fits the definition of a multiple of 2. It divides by 2 with no remainder.
Related Terms
Odd Number — An integer that is not divisible by 2
Integers — The set of numbers that can be even or odd
Divisibility — Even numbers are defined by divisibility by 2
Mathwords