## Topic outline

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

• 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. 