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# Divisibility

You can divide 6 into equal parts of 1, 2, 3, or 6 (but not 4 or 5) because 6 is divisible by these numbers. The rules of divisibility have wide-ranging applications as an easy test for divisibility.

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\[\large \text{Is } 0 \text{ even or odd?}\]

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What is true of all even numbers?

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Given an integer \( k \), which of these integers *might be* odd?

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What is the \(28 ^{\mbox{th}}\) smallest positive odd number?

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What is true of all odd numbers?

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