### Playing With Numbers (RD Sharma –Chapter 2-Solution of Exercise 2.4)

**Tags:**RD Sharma Class 6 Math Solution Chapter 2 Playing with Numbers Exercise 2.4, Solution of RD Sharma for class 6, RD Sharma solutions Grade VI, Solution of RD Sharma exercises for sixth standard, R.D. Sharma Mathematics solutions and practice pages, Playing With Numbers Exercise 2.4 (Prime Factorization)Playing With Numbers

Exercise 2.4 (Prime Factorization)

Question 1 (Refer Book - Mathematics Class VI R.D. Sharma)

Solution:

Prime Factorization is the process of expressing a given number as a product of prime factors.

i. 24 = 2x3x4

ii.56 = 1x7x2x2x2

iii.70 = 2x5x7 (Here, Prime Factorization has been done)

iv.54 = 2x3x9

Question 2 (Refer Book - Mathematics Class VI R.D. Sharma)

Solution:

i. 216

2

216

2

108

2

54

3

27

3

9

3

Prime Factorization = 2x2x2x3x3x3

ii. 420

2

420

2

210

3

105

5

35

7

Prime Factorization = 2x2x3x5x7

iii. 468

2

468

2

234

3

117

3

39

13

Prime Factorization = 2x2x3x3x13

iv. 945

3

945

3

315

3

105

5

35

7

Prime Factorization = 3x3x3x5x7

v. 7325

5

7325

5

1465

293

Prime Factorization = 5x5x293

vi. 13915

5

13915

11

2783

11

253

23

Question 3 (Refer Book - Mathematics Class VI R.D. Sharma)

Solution:

Smallest 4-digit number = 1000

2

1000

2

500

2

250

5

125

5

25

5

Prime Factorization = 2x2x2x5x5x5

Question 4 (Refer Book - Mathematics Class VI R.D. Sharma)

Solution:

Largest 4-digit number = 9999

3

9999

3

3333

11

1111

101

Prime Factorization = 3x3x11x101

Question 5 (Refer Book - Mathematics Class VI R.D. Sharma)

Solution:

7

1729

13

247

19

Prime Factorization = 7x13x19

Each factor is more than the previous factor.

Question 6 (Refer Book - Mathematics Class VI R.D. Sharma)

Solution:

One and the number itself are not included in the prime factorization of a composite number.

Question 7 (Refer Book - Mathematics Class VI R.D. Sharma)

Solution:

i.

ii.