1. To Start: 15 Points
Solve the following: 21,672 ÷ 3 = 45,225 ÷ 5 = 210,060 ÷ 10 =
7,224
9,045
21,006

2. Chapter 4: Factors, Fractions, and Exponents
Section 4.1: Divisibility and Factors

3. Divisibility
One integer is divisible by another if the remainder is 0. For example: 18 ÷ 3 = 6 with a remainder of 0.

4. Divisibility
An integer is divisible by: 2: If it ends with an even number! 5: If it ends in 5 or 0!! 10: If it ends in 0!!! Easy????

5. Practice
Is the first number divisible by the second? 567 by 2? 1015 by 5? 111,120 by 10? No
Yes
Yes

6. You Try!!!
Is the first number divisible by the second? 368 by 2? 1010 by 5? 111,125 by 10?
Yes
Yes No

7. Divisibility
An integer is divisible by: 3: If the sum of the digits is divisible by 3! Ex: Is 27 divisible by 3? 2+7=9 9 is divisible by 3, then so is 27! 9: If the sum of the digits is divisible by 9!! Ex: Is 36 divisible by 9? 3+6=9 9 is divisible by 9, then so is 36!!

8. Practice
Is the first number divisible by the second? 567 by 3? 1015 by 3? 111,123 by 9? 2,153 by 9?
5+6+7=18
18 is divisible by 3.
Yes! =7
7 is not divisible by 3.
No! =9
9 is divisible by 9.
Yes!
=11
11 is not divisible by 3.
No!

9. Factors
What are the factors of 20? 1 x 20 2 x 10 4 x 5 So therefore the factors of 20 are: 1, 2, 4, 5, 10, and 20!!!

10. Factors – You Try!!
What are the factors of 18? 1 x 18 2 x 9 3 x 6 So therefore the factors of 18 are: 1, 2, 3, 6, 9, and 18!!!

11. Homework!!!
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