The document explains divisibility rules that help determine if numbers are divisible by 2, 3, 4, 5, 6, and 10. A number is considered divisible if it can be divided by another number with no remainder, and specific rules are outlined for each divisor. Examples are provided for each rule to illustrate how to apply them.

1. Divisibility

2. Divisibility Rules: What are they?
Rules to help you determine if numbers
are divisible by other numbers.
Divisible – if a number can be divided by
another number with no remainder,
decimal, or fraction.
We will learn rules for 2, 3, 4, 5, 6, and 10.

3. Divisibility Rule for 2
A number is divisible by 2 if…
The number is even.
Even numbers end in 2, 4, 6, 8, or 0.
Examples
412
230
516

4. Divisibility Rule for 10
A number is divisible by 10 if…
The number ends in a zero.
Examples
4,000
210
50

5. Divisibility Rule for 5
A number is divisible by 5 if…
The number ends in a 5 or 0.
Examples
4,000
215
355

6. Divisibility Rule for 3
A number is divisible by 3 if…
The sum of the digits of the number is divisible by 3.
Examples
354
3 + 5 + 4 = 12
12 ÷3 = 4
9,363,129
9 + 3 + 6 + 3 + 1 + 2 + 9 = 33
33÷3 = 11

7. Divisibility Rule for 6
A number is divisible by 6 if…
The number is divisible by both 3 and 2.
Examples
930
6000
216

8. Divisibility Rule for 4
A number is divisible by 4 if…
The last 2 digits of the number is divisible by 4.
Examples
9,264
1,209,124
216

9. Divisibility Rules
A number is divisible by:
2 if the number is even.
3 if the sum of the digits is divisible by 3.
4 if the last 2 digits of the number are ÷ by 4.
5 if the number ends in a 5 or 0.
6 if the number is divisible by 2 and 3.
10 if the number ends in a 0.

10. What number(s) is the number below
divisible by?
75
3 and 5

11. What number(s) is the number below
divisible by?
111
3

12. 2,848
2, 4
What number(s) is the number below
divisible by?

13. What number(s) is the number below
divisible by?
9,540
2, 3, 4, 5, 6, and 10

14. What number(s) is the number below
divisible by?
144
2, 3, 4, 6