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. 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. (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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