Multiples Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

252

a multiple of

7

? Of

12

? Show your reasoning.

1
Divide: $252 \div 7 = 36$ (exact). So $252 = 7 \times 36$ . Yes, $252$ is a multiple of $7$ .
2
Divide: $252 \div 12 = 21$ (exact). So $252 = 12 \times 21$ . Yes, $252$ is a multiple of $12$ .

Answer

252

is a multiple of both

7

and

12

A number

N

is a multiple of

k

k

divides

N

with no remainder — equivalently,

N = k \times m

for some positive integer

m

. Testing divisibility by direct division is the most reliable method.

About Multiples

Numbers obtained by multiplying a given number by positive integers: the skip-counting sequence $n, 2n, 3n, 4n, \ldots$

List the first [formula] multiples of [formula], and find the [formula]th multiple of [formula].

Find all multiples of [formula] between [formula] and [formula] (inclusive). How many are there?

A light flashes every [formula] seconds and a buzzer sounds every [formula] seconds. They start toge