Divisible by 5
Divisible by 2
Divisible by 3
Divisible by 6
Mixed Challenge
100

This is the only thing you need to check to see if a number is divisible by 5.

The last digit.

100

A number is divisible by 2 if its last digit is one of these.

0, 2, 4, 6, or 8.

100

To check if a number is divisible by 3, you add these together.

Its digits

100

A number is divisible by 6 if it is divisible by these two numbers.

2 and 3.

100

A number that ends in 5 is divisible by this number.

5

200

A number ending in this digit will always be divisible by 5.

5

200

The last digit of a number divisible by 2 must be this type of number.

Even.

200

True or False: If the digits of a number add to 12, the number is divisible by 3.

True (12 is divisible by 3).

200

For a number to be divisible by 6, its last digit must be this type (even or odd?).

Even

200

If a number ends in 8 and its digits add to 9, the number is divisible by this number.

6 (because 8 is even → divisible by 2, and 9 is divisible by 3).

300

True or False: A number ending in 8 can be divisible by 5.

False

300

True or False: 137 is divisible by 2.

False (it ends in 7).

300

What must you do with the sum of the digits to know if a number is divisible by 3?

Check if the sum is divisible by 3.


300

If the sum of a number’s digits is divisible by 3 and the last digit is even, the number is divisible by this.

6

300

A number divisible by 6 must also be divisible by this number (clue: it relates to the sum of digits).

3

400

These two digits are the only possible endings of a number divisible by 5.

0 or 5

400

Any number ending in 4 belongs to this group (divisible or not divisible by 2?).

Divisible by 2.

400

If the digits of a number add to 19, the number is divisible by 3. True or False?

False (19 is not divisible by 3).

400

True or False: A number can be divisible by 6 even if it is NOT divisible by 2.

False (it must be divisible by both 2 and 3).

400

If a number’s digits add to 27, what two divisibility rules must you check next to see if it’s divisible by 6?

Divisible by 2 (last digit even?) and divisible by 3 (already yes because 27 is divisible by 3).

500

If a number ends in 0, it is divisible by 5 and this other number.

2

500

If a number ends in 0, 2, 4, 6, or 8, it is always divisible by this number.

2

500

The number 243 is divisible by 3 because the digits add to this.

9

500

To test divisibility by 6, you check divisibility by 2 and this number.

3

500

A number ends in 0 and its digits add to 15. Name all the numbers (2, 3, 5, 6) it must be divisible by.

  • 2 (ends in 0)

  • 5 (ends in 0)

  • 3 (15 is divisible by 3)

  • 6 (divisible by both 2 and 3)

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