Question

The product of 2016 positive integers is 5.Which of the following is their sum?

Answer 1

Answer:

5+5=10

5+5=10

5+5=10

5+5=10

Answer 2

Given :  The product of 2016 positive integers is 5.

To Find : their sum

Solution:

The product of 2016 positive integers is 5.

5 is a prime number

Hence 5 has only 2 factors 1 and 5

1* 1  = 1   , 1ⁿ = 1  

out of 2016 integers

one integer will be 5   and all other 2015 integers will be  1

5 = 1²⁰¹⁵ * 5¹

Number of 5 = 1

Number of 1  = 2015

So sum of integers =  1 * 2015  + 5 * 1

= 2015 + 5

= 2020

Their sum is 2020

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