Divisibility Tests Is the first number divisible by the second? COURSE 2 LESSON 3-3 Divisibility Tests Is the first number divisible by the second? a. 3,152 by 2 Yes, 3,152 ends in 2. b. 507 by 5 No, 507 does not end in 0 or 5. c. 14,003 by 10 No, 14,003 does not end in 0. d. 9,796 by 4 Yes, 96 is divisible by 4. e. 40,812 by 8 No, 812 is not divisible by 8. 3-3

Divisibility Tests Is the first number divisible by the second? COURSE 2 LESSON 3-3 Divisibility Tests Is the first number divisible by the second? a. 353 by 3 No, 3 + 5 + 3 = 11, which is not divisible by 3. b. 111,111,111 by 9 Yes, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9, which is divisible by 9. 3-3

COURSE 2 LESSON 3-3 Divisibility Tests Allie said that the number of her family’s hotel room was divisible by 2, 3, 4, and 5, but it was not divisible by 8 or 9. Could 3060 be the number of their room? Use logical reasoning to see if the room number is divisible by 2, 3, 4, 5, 8, or 9. Is 3060 divisible by 2? Yes, it ends in 0. Is 3060 divisible by 3? Yes, 3 + 0 + 6 + 0 = 9, which is divisible by 3. Is 3060 divisible by 4? Yes, 60 is divisible by 4. Is 3060 divisible by 5? Yes, it ends in 0. 3-3

Divisibility Tests (continued) COURSE 2 LESSON 3-3 Divisibility Tests (continued) Is 3060 divisible by 8? No, 60 is not divisible by 8. Is 3060 divisible by 9? Yes, 3 + 0 + 6 + 0 = 9, which is divisible by 9. 3060 is divisible by 9, so it cannot be the number of their room. 3-3

Divisibility Tests Is 73,640 divisible by 1. 4? 2. 8? 3. 3? 4. 5? yes COURSE 2 LESSON 3-3 Divisibility Tests Is 73,640 divisible by 1. 4? 2. 8? 3. 3? 4. 5? yes yes no yes 3-3