问题 填空题

一个四位数□56□,要使它能同时被3和5整除,这个数最小是______,最大是______.

答案

能被5整除的数个位只能是0或5,先在个位上填上0或5;

能被3整除的数各个数位上的数的和必须是3的倍数,

百位、十位、个位上的数字和已经为:5+6+0=11或5+6+5=16,

所以要使此数最小,个位上的数字为0,千位上的数字为1即可,

要使此数最大,个位上的数字为5,千位上的数字为8即可;

即最小数是1560,最大数是8565.

故答案为:1560,8565.

单项选择题
问答题

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