The product of the divisors of any number n is equal to n^(d/2), where d is the number of divisors of n.

First, let's find the prime factorization of 7056.

7056 = 2^4 * 3^2 * 7^2

The total number of divisors d is given by multiplying the exponents of the prime factors, each increased by one.

d = (4+1) * (2+1) * (2+1) = 5 * 3 * 3 = 45

So, the product of the divisors of 7056 is 7056^(45/2) = (84)^45

So, the correct answer is C(84)45.

Question

The product of the divisors of any number n is equal to n^(d/2), where d is the number of divisors of n.

First, let's find the prime factorization of 7056.

7056 = 2^4 * 3^2 * 7^2

The total number of divisors d is given by multiplying the exponents of the prime factors, each increased by one.

d = (4+1) * (2+1) * (2+1) = 5 * 3 * 3 = 45

So, the product of the divisors of 7056 is 7056^(45/2) = (84)^45

So, the correct answer is C(84)45.

Knowee AI · Accepted Answer

The product of the divisors of any number n is equal to n^(d/2), where d is the number of divisors of n.

First, let's find the prime factorization of 7056.

7056 = 2^4 * 3^2 * 7^2

The total number of divisors d is given by multiplying the exponents of the prime factors, each increased by one.

d = (4+1) * (2+1) * (2+1) = 5 * 3 * 3 = 45

So, the product of the divisors of 7056 is 7056^(45/2) = (84)^45

So, the correct answer is C(84)45.

The product of divisors of 7056 is –Select an answerA(84)48B(84)44C(84)45DNone of these