1. Agenda Tuesday, Nov. 9
homework 2 p. 193 #2 - 20, 25 - 28
Do Now
Write using exponents
1. 3 * x * y * x 3x2
y
2. a * b * a * b * b * -2 -2a2
b3
3. Evaluate:
4x2
+ 3 for x = -5 4(-5)2
+ 3
4 * 25 +
3
100 + 3 =
103
Correct homework
4-3 Prime Factorization & Greatest Common Factor
Daily Scribe -

2. p. 182
22. 111 is divisible by 3 because 1 + 1 + 1 =3
23. 131 - none
24. 288 is divisible by 2, 3 & 9 because it ends in 8, 2 + 8 + 8 = 18 which is
divisible by 3 and 9.
25. 300 is divisible by 2, 3, 5, 10 because it ends in 0 and
3 + 0 + 0 = 3
26. 52 is divisible by 2 because the number ends in 2.
27. 891 is divisible by 3 and 9 because 8 + 9 + 1 = 18 which is divisible by
3 and 9.
28. 4,805 is divisible by 5 because it ends in 5.
29. 437,684 is divisible by 2 because it ends in 4.
30. a. and b. ~ 66 and 4,710
c. An integer is divisible by six if it is an even number and the sum of its digits
is divisible by 3.

3. p. 188
3. -7a2
b
4. 52
a2
or 25a2
5.
95
6.
(-5)4
8.
43
= 64
9. 26
= 64
10. (-4)3
= -64
11. -43
= -64
16. -32
+ 5*23
= 31
17. 2(9 - 4)2
= 50
18. 25 - (3 * 2)2
= -11
19. 2 * (-2)4
+ 101
= 42
20. 3a2
- 2
3(5)2
- 2 = 73
21. c3
+ 4
(-6)3
+ 4 = -212
22. -4y2
+ y3
-4(3)2
+ 33
= -9
23. 2m2
+ n
2(-3)2
+ 4 = 22
36. 8 - x3
8 - (-2)3
= 16
37. 3(2m + 5)2
3(2(2) + 5)2
= 243
38. 4(2y - 3)2
4(2(5) - 3)2
196
39. y2
+ 2y + 5
(-6)2
+ 2(-6) + 5
29

4. A Prime number can only be divided evenly by itself
AND one.
One is not a prime because it can ONLY be divided
evenly by one.

5. Are these number Prime or Composite?

6. Prime factorization - a composite number written as the product of it's prime
factors
Divide by prime numbers beginning with 2.
182
93
3
Gather the primes and put in exponential form.
2*3*3
2*32

7. How Do You Find
the Greatest Common Factor
(GCF)
Using Prime Factorization?

8. Prime Factors of 20Prime Factors of 12
Greatest Common Factor (GCF)
1) Which numbers are in both circles? 2, 2
2) Find the product of the numbers that are in both circles. 4

9. Prime Factors of 20Prime Factors of 12
20 = 2 x 2 x 512 = 2 x 2 x 3
3
2
2
5
The Greatest Common Factor (GCF) is the product
of the common prime factors. The GCF of 12 and 20
is 4.
Move the rectangle to check your answer.

10. Prime Factors of 28Prime Factors of 16
28 = 2 x 2 x 716 = 2 x 2 x 2 x 2
Directions: Find the prime factorization of each number. Use the Venn
diagram below to show the prime factors of 16 and 28. Then use it to
find the GCF.