Before proceeding to the solution of examples and problems be sure to read the theoretical part of the lesson
Factors and prime numbers
1. Copy and complete these factors trees:а) 70 = 2 × 3 × 7;
b) 70 = 3 × 5 × 7;
c) 70 = 2 × 5 × 7;
d) 70 = 2 × 7 × 9.
2. Copy and complete these factors trees:
а) 72 = 3 × 3 × 3 × 2 × 2;
b) 72 = 3 × 3 × 2 × 2 × 2;
c) 72 = 3 × 2 × 2 × 2 × 2;
d) 72 = 3 × 3 × 2 × 2 × 4.
b) 24 = 2 × 2 × 2 × 2;
c) 24 = 2 × 2 × 3 × 3;
d) 24 = 2 × 2 × 2 × 3.
c) 84 = 2 × 2 × 3 × 5;
d) 84 = 2 × 2 × 2 × 9.
d) 84 = 2 × 2 × 2 × 9.
5. Using any method, write the following numbers as products of prime factors:
48
а) 2 × 2 × 2 × 3 × 3;
b) 2 × 2 × 2 × 2 × 3;
c) 2 × 2 × 2 × 2 × 2;
d) 2 × 2 × 2 × 2 × 4.
6. Using any method, write the following numbers as products of prime factors:
50
а) 2 × 3 × 5; b) 3 × 5 × 5;
c) 2 × 5 × 5; d)
5 ×
5 × 5.
7. Using any method, write the following numbers as products of prime factors:
81
а) 3 × 3 × 3 × 7;
b) 3 × 3 × 3 × 5;
c) 2 × 3 × 3 × 3;
d) 3 × 3 × 3 × 3.
8. Using any method, write the following numbers as products of prime factors:
96
а) 2 × 2 × 2 × 2 × 3 × 3;
b) 2 × 2 × 2 × 2 × 2 × 3;
c) 2 × 2 × 2 × 2 × 2 × 5;
d) 2 × 2 × 2 × 2 × 2 × 2.
9. Using any method, write the following numbers as products of prime factors:
200
а) 2 × 2 × 3 × 5 × 5;
b) 2 × 2 × 2 × 3 × 5;
c) 2 × 2 × 2 × 5 × 5;
d) 2 × 2 × 3 × 3 × 3.
10. Using any method, write the following numbers as products of prime factors:
120
а) 2 × 2 × 2 × 5 × 5;
b) 2 × 2 × 2 × 3 × 5;
c) 2 × 2 × 2 × 3 × 3;
d) 2 × 2 × 2 × 2 × 5.
11. Using any method, write the following numbers as products of prime factors:
196
а) 2 × 2 × 7 × 7;
b) 2 × 2 × 5 × 7;
c) 2 × 3 × 7 × 7;
d) 2 × 2 × 2 × 2.
12. Using any method, write the following numbers as products of prime factors:
392
а) 2 × 2 × 2 × 5 × 7;
b) 2 × 2 × 2 × 7 × 7;
c) 2 × 2 × 3 × 7 × 7;
d) 2 × 2 × 2 × 2 × 7.
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