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MathNet 2019-part-06 — 184 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 114

Let $a=256$ and let $b$ be the product of all positive divisors of the number $a$. Which of the following equalities is true?

(A) $b=a^{4}$
(B) $b=a^{9}$
(C) $b^{2}=a^{7}$
(D) $b^{2}=a^{9}$
(E) $b^{3}=a^{10}$