Week #1 - A (p. 34, 53)
Prime Factorization
A1 p. 53
A1 p. 34
7 p.m. None
8 p.m. 3, 43, 73, 7
9 p.m. 89, 29, 47
10 p.m. 97, 41, 2
Your turn:
2 ,3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Exponents are difficult to put up on the web, so I have given you the prime factorization. Check to see if you used exponents correctly.
1.
2 x 3 x 3
Ex.
2 x 3 to the second power
2.
2 x 2 x 2 x 3
3.
2 x 2 x 3 x 3
4.
2 x 2 x 7
5.
2 x 2 x 3 x 5
6.
2 x 2 x 2 x 3 x 3
7.
2 x 2 x 2 x 2 x 3 x 3
8.
2 x 2 x 3 x 3 x 3
9.
2 x 2 x 2 x 2 x 3 x 3 x 3
10.
3 x 3 x 3 x 97
Week #1 - B (p. 37, 38)
Least Common Multiple, Greatest Common Factor
B2 p. 38
B1 p. 37
1. Possible Answer:
Find the largest power of each prime factor and multiply these powers.
2. LCM = 30
3. LCM= 36
4. LCM = 175
5. LCM = 60
6. LCM = 27
7. LCM = 150
8. LCM = 56
9. LCM = 60
10. LCM = 30
11. LCM = 75
12.
If the other numbers are factors of the greatest factor
1. Possible Answer:
Find the prime factorization of each number, then take the product of the common factors.
2. Possible Answer:
GCF=12 (2 x 2 x 3)
2
x
2
x
3
x 5 = 60
2 x
2
x
2
x
3
= 24
3. GCF = 4
4. GCF = 4
5. GCF = 11
6. GCF = 1
7. GCF = 8
8. GCF = 32
9. GCF = 2
10. GCF = 1
11. GCF = 5
12. GCF = 20