For any integer z, the function PODD(z) is defined as the product of all odd integers between –z and z, inclusive. Which of the following numbers will not divide PODD(-15) completely? Choose the correct choice from the following options:  A) 3^8  B) 5^5  C) 7^3  D) Options B and C  E) Options A and C
Solution 1:   Given POOptions B and COptions B and C(Z) is product of all odd integers -Z to Z, so doesn't matter what the prime factors are, they will have even powers, So B and C WILL NOT divide POOptions B and COptions B and C(-15) completely(!!!!, when you say completely i hope you meant without any remainder)   Solution 2:   POOptions B and COptions B and C(-15) = (15.13.11.9.7.5.3)^2 and breaking down to prime factors (5.3.13.11.3.3.7.5.3)^2 = (13^2.11^2.7^2.5^4.3^8)   ANSWER:Options B and C
<result>D</result>
For any integer z, the function PODD(z) is defined as the product of all odd integers between –z and z, inclusive. Which of the following numbers will not divide PODD(-15) completely?