Question

Product of divisor of 512 is

Answer 1

Answer:512^5

Step-by-step explanation:

To find the product of divisors , first find no. of divisors.

To find no. of divisors use the below formula

N= the number

N= a^p x b^q x c^ r.......

a, b, c are prime factors and p,q,r are powers of primes.

The number of divisors = (p+1)(q+1)(r+1).....

Prime factors of 512 = 2^9

No of divisors = (9+1) =10

Now the product of divisor of a number = N^ total no of divisors/2

So the product of the divisors of 512 = 512^10/2 = 512^5

Hope it helps..