Question

The product of divisors of 1040 is
a)(1040)¹⁵
b)(1040)¹⁰
c)(1040)²⁰
d)(1040)⁴⁰​

Answer 1

Answer:

The product of divisors of 1040 is 1(1040)

Step-by-step explanation:

20

Answer 2

Answer:

The product of the divisors of 1040 is $1040^{10}$

Given:

given number = 1040

To Find;

find the product of divisors of 1040

Solution:

Divisor/ factors:

Numbers which can be divide the given number completely then those numbers are called the divisors of the given number.

Let the numbers be N

prime factorization of N = 2ᵃ3ᵇ5ˣ...

So the number of factors be, n = ( a+1)(b+1)(x+1)

here N = 1040

N = 2⁴x5¹x13¹

n = (5)(2)(2)

n=20

hence the product of divisors = $N^{n/2}$

= $1040^{20/2}$

=$1040^{10}$