80!=1*2*3*······*79*80,这个数的末尾共有()个0

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80!=1*2*3*······*79*80,这个数的末尾共有()个0

80!=1*2*3*······*79*80,这个数的末尾共有()个0
80!=1*2*3*······*79*80,这个数的末尾共有()个0

80!=1*2*3*······*79*80,这个数的末尾共有()个0
80!=1*2*3*······*79*80,这个数的末尾共有(16)个0
出现10的倍数的时候会诞生一个0,总共是8个0
出现末尾是5的数和1个偶数的积也会诞生1个0
因为偶数有40个,而末尾是5的数才8个,所以每个5都能配到偶数.
所以一共是8+8=16个0

一个因数2和一个因数5可以在结果末尾生成一个0,80/5=16,共有16个因数5,以及80/2=40,,40个因数2,所以有末尾16个0

16个零

因数2的个数充足,不用考虑。
80\5 = 16,即至少有16个数含1个因数5
80\25 = 2 ,即至少有2个数含2个因数5
综上,1乘到80,共含有16+2=18个因数5。
则末尾共有(18)个0

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