If n is the product of the integers from 1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?
10
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20
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题目: n=1*2*3*4.....*20 2^k is a factor of n, 也就是问上面乘积有几个2 =》2*4*6*8*10....*20 (把奇数剔除) =2^(1+2+1+3+1+2+1+4+1+2)=2^18
题目: n=1*2*3*4.....*20
2^k is a factor of n, 也就是问上面乘积有几个2
=》2*4*6*8*10....*20 (把奇数剔除)
=2^(1+2+1+3+1+2+1+4+1+2)=2^18
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