Question

Find the number of even factors of 192 (A) 15 (B) 12 (C) 18 (D) 10​

Answer 1

Answer:

hey buddy answer is ( b) 12

Answer 2

The correct answer is option (B) 12

Given:

a positive number 192

To find:

The number of even factors of 192

Solution:  

Let n be a number and written as product of prime factors as shown below

n = $2^{p} . 3^{q} . 5^{r}..$  

The No. of even factors = p(q+1)(r+1)..

here given number is 192

Now write 192  as product of prime factors

⇒ 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

⇒ 192 = 2⁶ × 3¹  

⇒ Number of even factors = 6(1+1) = 6(2) = 12  

Therefore, Number of even factors of 192 = 12  

So correct answer is option (B) 12

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