Question

Factorize the following numbers into primes:

i. 784 

ii. 225

iii. 1296 

iv. 2025 

v. 256

Answer 1

i. 784 

∴ 784 = 2 × 2 × 2 × 2 × 7 × 7 

∴ √784 = 2 × 2 × 7 

= 28

ii. 225

∴ 225 = 3 × 3 × 5 × 5 

∴ √225 = 3 × 5 

= 15

iii. 1296 

∴ 1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 

∴ √1296 = 2 × 2 × 3 × 3 

= 36

iv. 2025 

∴ 2025 = 3 × 3 × 3 × 3 × 5 × 5 

∴ √2025 = 3 × 3 × 5 

= 45

v. 256

∴ 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 

∴ √256 = 2 × 2 × 2 × 2 

= 16