If a natural number is a multiple of 3 and 4, and there are 10 divisors including 1 and itself, then the natural number is______ .

If a natural number is a multiple of 3 and 4, and there are 10 divisors including 1 and itself, then the natural number is______ .


According to a natural number is a multiple of 3 and 4 can be obtained: the natural number is a multiple of 12, 12 multiples are: 12, 24, 36, 48, 60 12 = 22 × 3, so its divisors are: (2 + 1) × (1 + 1) = 6 (pieces); 24 = 23 × 3, so its divisors are: (3 + 1) × (1 + 1) = 8 (pieces); 36 = 22 × 32, so its divisors are: (2 + 1) × (2 + 1) = 9 (pieces); 48 = 24 × 3, so its divisors are: (4 + 1) × (1 + 1) = 10 (pieces); answer: this natural number is 48. So the answer is: 48



If the natural number n can be represented as the sum of three continuous natural numbers, 11 continuous natural numbers, and 12 continuous natural numbers, what is the minimum value of N?


Suppose that this number is the sum of n natural numbers, and let the smallest number in these continuous numbers be m, then this number can be understood as the sum of the arithmetic sequence with the equal difference of 1, as follows: n = s = (M + m + n-1) n / 2 = nm + (n-1) n / 2 > = (n + 1) n / 2, if n is odd, n must be the divisor of the number; if n is even, N / 2 must be the divisor of the number;
So n must be the common multiple of 3, 11 and 6, and its least common multiple is 66, that is, n must be the multiple of 66, and N ≥ (12 + 1) * 12 / 2 = 78, so n = 66K, (K ∈ natural number, and K ≥ 2), so the minimum decimal is 132



{10 + 11 + 12 +. + [9 + (n-1)] + [9 + n]} + 385 can be written as the sum of n continuous natural numbers (n > 3)
The sum of the maximum and minimum of the formula is ()


He said that the formula can be written as the sum of continuous natural numbers. There are several schemes. First of all, he thought of making 385 become 192 and 193. In front of the braces, there are natural numbers from 10 to 191. Then he thought about whether he could change several natural numbers, such as 75 + 76 + 77 + 78 + 79. Then the formula of continuous n natural numbers is



"Development trend" please translate this word in English


Development trend
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Friendly tips
You can use Google translation or Baidu translation in the future



Spring Festival is a traditional festival in China


The Spring Festival is a traditional holiday in China.



Can you see China on the map


Can you see China in the map



China is as big as Europe


china is as large as Europe



English translation
1. I tried several times, but gave up in the end
2. He didn't pay attention to the problem
3. He often argued with his wife about how to educate their children
4. Jim has a good sense of music
5. I often dream about my hometown
6. He has a lot of money and likes to show off
7. We all like to make friends with him
8. Thank you for forgiving me
9. John is good at cooking, so we don't have to worry about no good food
10. I like Mr Li best because he is fair


He didn't pay attention to this problem. 3 he often argued with his wife about how to educate their children



English translation
You are never too young to stant doing things.


You are never too young to star doing things.
You are never too young to start something
Be brief and do things regardless of age



______ ,I’ll love him all the same.
A.He were rich or poor B.Be he rich or poor C.Being rich or poor D.Were he rich or poor


D Oh, virtual, and subject predicate inversion Oh, because there is no if at this time