选择题
2026 AMC 8 Problem 24: Superfactorial Factors of 7
The notation n! ("n factorial") is defined as the product of the first n positive integers. (For example, 3! = 1 × 2 × 3 = 6.) Define the superfactorial of a positive integer n to be the product of the factorials of the first n integers. (For example, the superfactorial of 3 is 1! × 2! × 3! = 12.) How many factors of 7 appear in the prime factorization of the superfactorial of 51?
2026 AMC 8 第24题：7 的超阶因数
符号 n! （“n 阶乘”）定义为前 n 个正整数的乘积。 （例如，3!= 1 × 2 × 3 = 6。）将正整数 n 的超阶乘定义为前 n 个整数的阶乘的乘积。 （例如，3 的超阶乘是 1! × 2! × 3! = 12。） 7 的因数有多少个出现在 51 的超阶乘的素因数分解中
A.
147
B.
150
C.
156
D.
168
E.
171