Download Determine whether each number is prime(P)

1.1 Math 8 Practice. Prime Factorization. Greatest Common factor
Determine whether each number is prime(P), composite(C), or neither(N).
1. 81
2. 47
3. 61
4. 32
5. 23
6. 57
7. 17
8. 27
9. 0
10. 1,331
11. 1
12. 613
Find the prime factorization of each number. Use exponents to write the final answer.
13. 60
14. 420
15. –128
16. 88
17. 96
18. –400
Factor each monomial
19. 14w
20. 9t²
21. –7c²
22. –25z³
23. 20st
24. –38mnp
25. –28x²y
26. 21r²st³
27. Write a monomial whose factors include –1, 5, and x
Find the GCF of each set of numbers.
28. 40 = 2 · 2 · 2 · 5
35 = 5 · 7
GCF =
29. 22mn² = 2 · 11 · m · n · n
33n = 3 · 11 · n
GCF =
30. 16 = 2 · 2 · 2 · 2
24 = 2 · 2 · 2 · 3
36 = 2 · 2 · 3 · 3
GCF =
Find the GCF of each set of numbers.
31. 24, 36
32. 80, 120
33. 45st, 60s
34. 45x, 56x²
35. 4n², 12mn, 10
36. 36, 60, 84
37. What is the GCF of
and
?
38. Write three numbers that have a GCF of 7.
39. How do you know just by looking that that two numbers will have 5 as a common factor?
Write each fraction in simplest form.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
Two numbers are relatively prime if their only common factor is 1. Determine whether the numbers in each
pair are relatively prime. Write yes or no.
52. 7 and 8
53. 13 and 11
54. 27 and 18
55. 27 and 25
56. 20 and 25
57. 8 and 12