1. L1-2 Notes: Divisibility Patterns
Chapter 1
L1-2 Notes:
Divisibility Patterns

2. Vocabulary
A whole number is divisible by another number if the remainder is 0.
A whole number is even if it is divisible by 2.
Ex. 0, 2, 4, 6, 8,
A whole number is odd if it is not divisible by 2.
Ex. 1, 3, 5, 7, 9

3. Divisibility Rules (2, 3, 5, 10) Rule A whole number is divisible by:
Examples
2 if the ones digit is divisible by 2.
2, 4, 6, 8, 10,…
3 if the sum of the digits is divisible by 3.
6, 18, 24, 30,…
5 if the ones digit is 0 or 5.
5, 10, 15, 20,…
10 if the ones digit is 0.
10, 20, 30, 40,…

4. Example 1
Tell whether 2,320 is divisible by 2, 3, 5, or 10. Then classify the number as even or odd.

5. Example 2
COUNTY FAIRS The number of tickets needed to ride certain rides at a county fair is shown. If Alicia has 51 tickets, can she use all of the tickets by riding only the Ferris wheel?

6. Divisibility Rules (4, 6, 9) Rule A whole number is divisible by:
Examples
4 if the number formed by the last two digits is divisible by 4.
104, 112, 124,…
6 if the number is divisible by both 2 and 3.
18, 24, 30, 36,…
9 if the sum of the digits is divisible by 9.
18, 27, 36, 45,…

7. Example 3
Tell whether 564 is divisible by 2, 3, 4, 5, 6, 9, or 10, then classify the number as even or odd.