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Every digit of a natural number is 0 or 1, and can be divided by 45, which is the smallest natural number satisfying the condition
Let it be n-digit, where the first digit must be 1, the first digit must be zero, and the sum of other n-2 digits divided by 9 is 8. Obviously, the smallest case is that all n-2 digits are 1, which is exactly 8;
So the minimum natural number satisfying the condition is 1110
According to whether a number can be divided by 2, natural numbers can be divided into () and (); according to the number of factors of a number, non-zero natural numbers can be divided into ()
() and 1
Even and odd numbers
Prime number combination
There are four natural numbers, each of which can not be divided by the other three numbers, but the product of any two of them can be divided by the other two numbers. The sum of these four numbers is the least equal to______ ．
According to the meaning of the question, the form of the four numbers should be: AB, AC, ad, BC, where a, B, C, D are coprime, and can not be 1. Take the smallest three, the number of two coprime 2, 3, 5, 7, get the four numbers respectively: 2 × 3 × 5 = 302 × 3 × 7 = 422 × 5 × 7 = 703 × 5 × 7 = 10530 + 42 + 70 + 105 = 247. Answer: the minimum value of the sum of the four natural numbers is 247
There are four natural numbers, each of which can not be divided by the other three numbers, but the product of any two of them can be divided by the other two numbers. The sum of these four numbers is the least equal to______ ．
According to the meaning of the question, the form of the four numbers should be: AB, AC, ad, BC, where a, B, C, D are coprime, and can not be 1. Take the smallest three, the number of two coprime 2, 3, 5, 7, get the four numbers respectively: 2 × 3 × 5 = 302 × 3 × 7 = 422 × 5 × 7 = 703 × 5 × 7 = 10530 + 42 + 70 + 105 = 247. Answer: the minimum value of the sum of the four natural numbers is 247
RELATED INFORMATIONS
- 1. There are four natural numbers, each of which can not be divided by the other three numbers, but the product of any two of them can be divided by the other two numbers. The sum of these four numbers is the least equal to______ ．
- 2. A natural number has a factor of 2 and is a multiple of 3 and 5. The minimum number is ()
- 3. Why is the sum of numbers divisible by 9 a multiple of 9
- 4. A three digit number can be divided by 11, and the two digit number obtained after removing the last digit can be divided by 9. What are the three digit numbers?
- 5. A three digit number can be divided by nine. After removing its last digit, the resulting two digit number is a multiple of 17? ... I just need the formula. I know it's 855!
- 6. Proof: if the sum of four digits of four digits can be divided by 9, then the four digits can also be divided by 9 Thank you for another question, which is 9x ^ 4 + 12x ^ 3-3x ^ 2-7x + 2010
- 7. Why can a number whose sum is a multiple of 3 be divisible by 3? Why? There's a reason
- 8. The law of numbers divisible by 7
- 9. It is proved that the value of 5N power minus one of 2 can be divisible by 31
- 10. If {an} is an equal ratio sequence, A2 = 2, A5 = 14, then A1A2 + a2a3 + a3a4 + +an-1an=______ ．
- 11. How many of the 101 natural numbers from 0 to 100 can be divided by 5 or 7?
- 12. Take any number of natural numbers, of which the difference between two numbers must be a multiple of 3
- 13. For any four different natural numbers, the difference between at least two numbers is a multiple of 3. Try to explain the reason
- 14. If in any four natural numbers, the difference between at least two of them is a multiple of 3. Why?
- 15. It is proved by mathematical induction that a ^ (n + 1) + (a + 1) ^ (2n-1) can be divided by a ^ 2 + A + 1, and N belongs to positive integer
- 16. There are four six digit numbers: A, xxxxx; B, xyxy; C, xyyxyy; D, xyyxyx. We also know that x is a natural number smaller than 10, and Y is zero. Then, the number that can be divided by 2, 3 and 5 at the same time is______ ．
- 17. There are four nonzero natural numbers a, B, C, D, where C = a + B, d = B + C. If a can be divisible by 2, B by 3, C by 5, and d by 7, then D is the smallest______ ．
- 18. The minimum natural number that can be divisible by 225 is 0, 1 or 2______ ．
- 19. 20 times of a number minus 1 can be divided by 153, the smallest of such natural numbers is______ ．
- 20. From 20 natural numbers from 1 to 20, find out two numbers so that their product can be divisible by 12. Such numbers have______ Yes