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Home»Math»Worksheet on Methods of Prime Factorization |Prime Factors by Division
Math

Worksheet on Methods of Prime Factorization |Prime Factors by Division

adminBy adminDecember 1, 2025No Comments3 Mins Read4 Views
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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.

Worksheet on Methods of Prime Factorization |Prime Factors by Division

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

Worksheet on Prime Factorization

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. 

Missing Numbers in Factor Trees

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

4th Grade Math Activities

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