When an integer is multiplied by 13, the last three digits of the product are 123. What is the minimum number of such an integer?

When an integer is multiplied by 13, the last three digits of the product are 123. What is the minimum number of such an integer?


Integer is the smallest, we can know that the product is also the smallest; so the product is at least four digits, from the thousand is 1, we can know from the discussion: 123 △ 13 ≈ 9.46 is a decimal; 1123 △ 13 ≈ 86.38 is a decimal; 2123 △ 13 ≈ 163.31 is a decimal; 3123 △ 13 ≈ 240.23 is a decimal; 4123 △ 13 ≈ 317.15 is a decimal; 5123 △ 13 ≈ 394.08 is a decimal; 6123 △ 13 = 471; 471 is an integer; answer: such a minimum The integer is 471



When an integer is multiplied by 13, the last three digits of the product are 123. What is the minimum number of such an integer?


Integer is the smallest, we can know that the product is also the smallest; so the product is at least four digits, from the thousand place is 1, we can know from the discussion: 123 △ 13 ≈ 9.46 is a decimal; 1123 △ 13 ≈ 86.38 is a decimal; 2123 △ 13 ≈ 163.31 is a decimal; 3123 △ 13 ≈ 240.23 is a decimal; 4123 △ 13 ≈ 317.15 is a decimal; 5123 △ 13 ≈ 394.08 is a decimal; 6123 △ 13 = 471; 471 is an integer; answer: This is the most important The small integer is 471



When an integer is multiplied by 13, the last three digits of the product are 123. What is the minimum number of such an integer?


Integer is the smallest, we can know that the product is also the smallest; so the product is at least four digits, from the thousand is 1, we can know from the discussion: 123 △ 13 ≈ 9.46 is a decimal; 1123 △ 13 ≈ 86.38 is a decimal; 2123 △ 13 ≈ 163.31 is a decimal; 3123 △ 13 ≈ 240.23 is a decimal; 4123 △ 13 ≈ 317.15 is a decimal



I'm an even number. I'm a two digit number. The product of ten digits and one digit number is 24. How much am I?


64,46,38



The product of three adjacent even numbers is a 6-digit number: 8 * * * 2, * represents a number, not necessarily the same number, find the three even numbers
Urgent!


90^3=729000,100^3=1000000
seven hundred and twenty-nine thousand



Among the unrepeated three digit numbers 0, 1, 2, 3, 4, 5 and 6, even numbers have______ One


There are two types of even numbers without repetition, which are composed of any three of the seven numbers 0, 1, 2, 3, 4, 5, 6. ① when the last digit is 0, such three digits have A62 = 30. ② when the last digit is not 0, choose one of the remaining three even numbers to put in the first place, and then choose one of the remaining five non-zero numbers to put in the first place, and then choose one from the remaining five non-zero numbers to put in the first place Take one of the numbers and put it in the tenth place. From this, we can see that the even numbers that meet the conditions are: A31 × A51 × A51 = 75. To sum up, there are 30 + 75 = 105 three digit numbers. Answer: there are 105 even numbers among the three digit numbers without repetition. So the answer is: 105



Among all the three digit numbers, how many even three digit numbers are there with the sum of the numbers in each digit being 23?


Six (698 968 896 986 878 788)



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Let this three digit be ABC, we can get: 100A + 10B + C = 23 (a + B + C) 100A + 10B + C = 23a + 23B + 23C & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 77A = 13b + 22c & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 13b = 11 (7a-2c), then 13b can be divided by 11, B is a multiple of 11, B is a single digit, so B = 0, then 7a = 2c, AC ≠ 0, C = 7, a = 2, this three digit is 207



An eight digit number is counted from the right. The singular digit is 2, and the even digit is the largest one. How much is this number larger than the smallest eight digit number


This number is: 9292
The smallest eight digits are: 10000000
Large: 9292-10000000 = 829292



Bright writes an eight digit number. From the right, the number on the single digit is the smallest one digit, and the number on the double digit is the largest one digit. Qin writes this number


This number is 9191