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Divisibility and Mental Math Lesson 3-1

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Vocabulary A number is divisible by another number if it can be divided into and result in a remainder of is divisible by 4, because 24 ÷ 4 = is not divisible by 5, because 24 ÷ 5 = 4.8 (or 4R4). An even number ends with a 0, 2, 4, 6, or 8. An odd number ends with a 1, 3, 5, 7, or 9.

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Divisibility Rules 2 divides into all even numbers. 3 divides into a number if the sum of the digits of that number is divisible by 3. 5 divides into numbers that end with a 5 or 0. 9 divides into a number if the sum of the digits of that number is divisible by divides into numbers that end with 0.

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Example: Test each number for divisibility by = 9 9 is divisible by 3, so 216 is divisible by 3. yes = is not divisible by 3, so 437 is not divisible by 3. no

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Example: Test the number for divisibility by 2, 5, or ,320 2 works because the number is even. 5 works because the number ends with works because the number ends with 0. Is the number divisible by 9? = is divisible by 9, so 454,320 is also divisible by 9.

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Homework Time

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