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

6. Multiple Choice Questions (MCQ) on Prime Factorization:

Tick (the correct option.

(i) Prime factorisation of 54 is:

(a) 2 × 27

(b) 2 × 3 × 9

(c) 54 × 1

(d) 2 × 3 × 3 × 3

(ii) 2 × 3 × 7 is the prime factorisation of

(a) 21

(b) 1237

(c) 237

(d) 42

7. Find the prime factorisation of the following numbers:

(i) 18

(ii) 34

(iii) 385

(iv) 45

(v) 52

(vi) 64

(vii) 390

(viii) 2520

(ix) 1210

(x) 1260

(xi) 1024

(xii) 2520

Answers for the worksheet on methods of prime factorization are given below.

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

6. (d) 2 × 3 × 3 × 3

(ii) (d) 42

7. (i) 18 = 1 × 2 × 3 × 3

(ii) 34 = 1 × 3 × 13

(iii) 385 = 1 × 5 × 7 × 11

(iv) 45 = 1 × 3 × 3 × 5

(v) 52 = 1 × 2 × 2 × 13

(vi) 64 = 1 × 2 × 2 × 2 × 2 × 2 × 2 × 2

(vii) 390 = 2 × 3 × 5 × 13

(viii) 2520 = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7

(ix) 1210 = 2 × 5 × 11 × 11

(x) 1260 = 1 × 2 × 2 × 3 × 3 × 5 × 7

(xi) 1024 = 1 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

(xii) 2520 = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7

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