Page 28 - NUMINO Challenge_C2

Basic Concepts Divisibility Rules (2)

If the last two digits of a number are a multiple of 4 or 00, then the number is
a multiple of 4. 4,324, 5,100
If the last three digits of a number are a multiple of 8 or 000, then the
number is a multiple of 8. 3,128, 5,000
Multiples of 6 are multiples of both 2 and 3. If the last digit of a number is 0,
2, 4, 6, or 8 and the sum of the digits is a multiple of 3, then the number is a
multiple of 6.

822 8 2 2 12 (a multiple of 3)
Multiples of 12 are multiples of both 3 and 4. If the last two digits of a
number are a multiple of 4 or 00 and the sum of the digits is a multiple of 3,
then the number is a multiple of 12.

456 4 5 6 15 (a multiple of 3)

Multiples of 4

Example If the 5-digit number below is a multiple of 12, what digit can be
written in the blank?

53,25

Class Notes

Multiples of 12 are multiples of both 3 and .
5 3 2 5 15. Since 53,25 is a multiple of 3, must be 0, 3, , or .
Since 53,25 is a multiple of 4, the last two digits, 5 , must be a multiple of 4.
Therefore, must be 2 or .
Therefore, the correct number in is .

Try It Again Find all the numbers from 1 to 50 that are multiples of both 2
and 3. How many are there?

25Number and Operations