Three consecutive natural numbers are between 100 and 200, the smallest of which can be divided by 3, the middle by 5, and the largest by 7. Try to write all these three natural numbers

Three consecutive natural numbers are between 100 and 200, the smallest of which can be divided by 3, the middle by 5, and the largest by 7. Try to write all these three natural numbers


The three consecutive integers are between 100 and 200, so the hundred digit is determined as 1. Because the middle number can be divided by 5, the last digit is 0 or 5, so the most decimal hundred digit is 1, and the single digit is 9 or 4; if the most decimal one digit is 9, it can be divided by 3, so the ten digit is 2, 5, 8; if the most decimal one digit word range can be divided by 3, it can be divided by 10 digits Words are 1, 4, 7; therefore, the minimum number can only be a few numbers in 129159189114144174, 130160190115145175 can be divided by 5, so we only need to select the number that can be divided by 7 from 1311611911161616161766, that is, only 161 = 7 × 23 meets the requirements of the above six numbers; therefore, the continuous three numbers are 159160161; answer: the continuous three numbers are 159160161 The number is 159160161;



The sum of four consecutive natural numbers is a three digit number between 400 and 440, and the sum can be divisible by 9. It is necessary to find the four consecutive natural numbers______ 、______ 、______ 、______ .


According to the above analysis, only 414 numbers can be divided by 9 between 400 and 440. Let the minimum natural number be X. according to the meaning of the question, we get x + X + 1 + X + 2 + X + 3 = 414, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 4x + 6 = 414, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 4x = 414-6, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 408 △ 4, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 102, x + 1 = 102 + 1 = 103, x + 2 = 102 + 2 = 104, x + 3 = 102 + 3 = 105. A: these four continuous natural numbers are 102103104105. So the answer is: 102103104105



The sum of four continuous natural numbers is between 400 and 440 and can be divided by 9. What are the four numbers


The sum of four continuous natural numbers must be even and divisible by 9
The sum of these four numbers is 432 or 414
The sum of four continuous natural numbers is four times more than the smallest number, 1 + 2 + 3 = 6
432-6 = 426, not divisible by 4
414-6=408
408÷4=102
The four numbers are: 102103104105