Number Theory: Divisibility Rules
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Questions and Answers

A number is divisible by 7 if the number formed by the last three digits is divisible by ______.

8

A number is divisible by 9 if the sum of its digits is divisible by ______.

9

It can be divided by at least one (1) other number (a ______) other than itself.

factor

A number is divisible by 10 if its last digit is ______.

<p>0</p> Signup and view all the answers

The ______ common divisor of two or more integers is the largest non-zero integer that divides them.

<p>Greatest</p> Signup and view all the answers

A number is divisible by 11 if the difference between the sum of one set of alternate digits and the sum of the other set of alternate digits is ______ or divisible by 11.

<p>0</p> Signup and view all the answers

A number is divisible by 12 if it is divisible by both ______ and ______.

<p>3, 4</p> Signup and view all the answers

Prime ______ is a way to find which prime numbers multiply together to make the original number.

<p>Factorization</p> Signup and view all the answers

The ______ common multiple of two or more integers is the smallest integer that is a common multiple of all the given integers.

<p>Least</p> Signup and view all the answers

A ______ number is a positive integer greater than 1 that cannot be divided by any number except itself and 1.

<p>prime</p> Signup and view all the answers

The number 24 can be expressed as ______ x 2 x 2 x 3.

<p>2</p> Signup and view all the answers

Let k be a positive integer greater than ______.

<p>1</p> Signup and view all the answers

The divisibility rule for 2 is that the last digit of the number is _______.

<p>even</p> Signup and view all the answers

The divisibility rule for 3 is that the _______ of the digits is divisible by 3.

<p>sum</p> Signup and view all the answers

The divisibility rule for 4 is that the number formed by the last two _______ is divisible by 4.

<p>digits</p> Signup and view all the answers

The divisibility rule for 5 is that the last digit is _______ or 5.

<p>0</p> Signup and view all the answers

The divisibility rule for 6 is that it is divisible by _______ and it is divisible by 3.

<p>2</p> Signup and view all the answers

To find out if 7 divides n, take the last digit, _______ it, and subtract it from the rest of the number.

<p>double</p> Signup and view all the answers

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