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



After a number is multiplied by 13, the last three digits of the product are 123. So, what is the minimum number of such an integer?


Let this number be a, then
13a=1000n+123
a=77n+10-(n+7)/13
So n + 7 = 13m,
n=13m-7
a=77(13m-7)+10-m=1000m-529
When m = 1, the smallest a = 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



The last three digits of the product of a natural number multiplied by 13 are 123, so what is the minimum number?


123÷13=9...6
6123÷13=471
The minimum is 471



I am a two digit decimal, the number on ten digit is the largest even number in one digit, and the number on one digit is the smallest odd number. Who am I?


The largest even number in one digit = 8
The smallest odd number = 1
So the number is 81



Use the numbers 0, 1, 2, 3, 4, 5 and 6 to form a four digit number without repetition, in which the sum of the numbers in the individual, ten and hundred digits is an even four digit number______ Answer with numbers


According to the principle of classification and counting, there are 90 + 234 = 324. So the answer is: 324



Even if the multiple of 2 is a multiple of 5, the number on the hundred is the smallest even number (except 0), and the number on the ten is a multiple of the number on the ten?
I want a complete answer


It's 138 yuan and 65 cents



A three digit number is not only a multiple of 2, but also a multiple of 5. The number in the hundreds is the smallest even number (except 0), and the number in the tens is a multiple of the number in the hundreds


220,240.260,280



A three digit number is the smallest odd number on the hundreds, and an even number on the tens. The number is a multiple of 3 and 5, and the minimum number is ()


A three digit hundred is the smallest odd number, so a hundredfold is one
If the tens are even, then the tens are 0,2,4,6,8
Because this number is a multiple of three and five
Then the least common multiple of 3 and 5 is 3 * 5 = 15
Because to be the smallest, when the tens are 0
100/15=6.666
Then 7 * 15 = 105



Choose three numbers to form three digits 0, 5, 1 and 8. (1) is an even number and a multiple of three. (2) is a multiple of 2, 3 and 5 at the same time


1.180、150、510、810、108、
2.150、180、510、810