Worksheet on Methods of Prime Factorization
Practice the questions given in the worksheet on methods of prime factorization.
1. Each of the following is the prime factorization of a certain number. Find the number.
(i) 2 × 5 × 7
(ii) 3 × 7 × 7
(iii) 2 × 7 × 13
(iv) 2 × 2 × 3 × 5
(v) 7 × 11 × 11
(vi) 5 × 5 × 7
(vii) 3 × 3 × 7
(viii) 2 × 3 × 3 × 7
(ix) 3 × 5 × 5 × 7
2. Find the prime factors by division method.
(i) 42
(ii) 95
(iii) 4
(iv) 94
(v) 28
(vi) 52
(vii) 40
(viii) 84
3. Find the prime factors by factor method.
(i) 30
(ii) 36
(iii) 5
(iv) 27
(v) 72
(vi) 56
(vii) 80
(viii) 96
4. Write the missing numbers in the factor trees.
5. Determine the prime factorization by any method you like.
(i) 2
(ii) 86
(iii) 50
(iv) 68
(v) 74
(vi) 90
(vii) 88
(viii) 48
(ix) 81
(x) 42
(xi) 66
(xii) 45
Answers for the worksheet on methods of prime factorization are given below.
Answers:
1. (i) 10
(ii) 147
(iii) 182
(iv) 60
(v) 847
(vi) 175
(vii) 63
(viii) 126
(ix) 525
2. (i) 2 × 3 × 7
(ii) 5 × 19
(iii) 2 × 2
(iv) 2× 47
(v) 2 × 2 × 7
(vi) 2 × 2 × 13
(vii) 2 × 2 × 2 × 5
(viii) 2 × 2 × 3 × 7
3. (i) 2 × 3 × 5
(ii) 2 × 2 × 3 × 3
(iii) 1 × 5
(iv) 3 × 3 × 3
(v) 2 × 2 × 2 × 3 × 3
(vi) 2 × 2 × 2 × 7
(vii) 2 × 2 × 2 × 2 × 5
(viii) 2 × 2 × 2 × 2 × 2 × 3
4.
5. (i) 1 × 2
(ii) 2 × 43
(iii) 2 × 5 × 5
(iv) 2 × 2 × 17
(v) 2 × 37
(vi) 2 × 5 × 9
(vii) 2 × 2 × 2 × 11
(viii) 2 × 2 × 2 × 2 × 3
(ix) 3 × 3 × 3 × 3
(x) 2 × 3 × 7
(xi) 2 × 3 × 11
(xii) 3 × 3 × 5
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