“数的整除性质”方面的题型丰富,解法多样。解题时,要在仔细审题的基础上,通过分析推理计算,找到问题的答案。【题目】5□□0是有两个数字相同的四位数,它同时是2、3和5的倍数。这个四位数最大是多少?最小是多少?【一般解法】可以采用逐一列举的策略。同时是2、3和5的倍数的数的共同点是:这个数的末尾一定是0,并且各个数位上数字的和是3的倍数。这里的四位数已经知道了千位和个位上的两个数字,还要满足 “The divisibility of the number of ” in the type of questions, diverse solutions. Problem-solving, we must carefully exam questions based on the analysis by reasoning calculations to find the answer to the question. [Subject] 5 □□ 0 is a four-digit number with two numbers that is both a multiple of 2, 3, and 5 at the same time. What is the maximum number of this four-digit? What is the minimum? [The general solution] You can use one by one strategy. The commonality of numbers that are both multiples of 2, 3, and 5 at the same time is that the end of this number must be 0 and the sum of the numbers on each digit is a multiple of 3. The four digits here already know the two digits on the one thousand and one digit, but also to meet