求助GWD2-M2
Q2:
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990, what is the least possible value of n?
A. 8
B. 9
C. 10
D. 11
E. 12
这题选D, 990=9*10*11, 求least possible value of N, 为什么不是9 呢? NN 请帮忙, 谢谢先!!!
11 is primer number, n!/990 ,
990 has factors: 11*3^3*2*5. we have to find 11 as the factor of n!
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