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16. The sum and product of five natural numbers are equal, and the five natural numbers are ()
All five numbers are zero
The product of five different natural numbers is 210. What are the five numbers?
Decomposition factor
210=2*105=2*3*35=2*3*5*7
Because five numbers are 1 2 3 5 7
The sum of five non-zero natural numbers is exactly equal to the product of multiplication
If five non-zero natural numbers are not equal, there is no solution. If they can be equal, there is
Two groups of solutions 1,1,2,2 and 1,1,1,3,3
RELATED INFORMATIONS
- 1. The sum and product of the five non-zero natural numbers are exactly equal. The five non-zero natural numbers are
- 2. The sum of three consecutive even numbers is 120. What are the three even numbers?
- 3. The sum of three continuous natural numbers is 36. These three natural numbers are (), (), (), and their product is ()?
- 4. The product of the sum of two continuous natural numbers multiplied by their difference is 99. The larger of the two natural numbers is 99______ ．
- 5. ① The product of the sum of two continuous natural numbers multiplied by the difference is 135. The two natural numbers are () () ② The quotient of the sum of 7 / 12 / 5 and 1 / 6 divided by 4 minus 7 / 8 is () ③ If a is divided by B, the quotient is 6.983. If the divisor and divisor are expanded by 7.8 times, the quotient is () ④ The number a is 300, 3 / 4 of the number B is a, and the number C is 20% of the number B. the average of the three numbers is ()
- 6. A and B are two different natural numbers, and a + B = 48. What is the maximum product of a and B?
- 7. Among the six continuous natural numbers, (1) is the product of the two numbers in the middle greater or that of the two numbers on both sides greater? (2) What is the sum of the middle two numbers and the two numbers on both sides? (3) Can you draw any conclusions from this?
- 8. When a natural number is multiplied by two adjacent even numbers, the difference between the two products is 200? Hope to receive a reply immediately!
- 9. 4. Divide the natural number 1-500 into three groups, group A: 1, 6, 7, 12, 13, 18 Group B: 2,5,8 4. Divide natural numbers 1-500 into three groups Group A: 1, 6, 7, 12, 13, 18 Group B: 2, 5, 8, 11, 14, 17 Group C: 3,4,9,10,15,16 Please answer the following questions: 1) how many numbers are in group B? 2) what is the 48th number in group A? 3) which group does 298 belong to
- 10. Prove inequality 1 + 1 / √ 2 + 1 / √ 3 +. + 1 / √ n
- 11. Let Sn be the sum of the first n terms of positive sequence [an], 4sn = an ^ 2 + 2an-3. Given BN = 2 ^ n, find the value of TN = A1B1 + a2b2 +... + anbn
- 12. It is known that all items of the sequence {an} are positive, Sn is the sum of the first n items of the sequence {an}, and 4sn = an2 + 2an-3. (1) find the general term formula of the sequence {an}; (2) find TN = A1B1 + a2b2 + when BN = 2n +The value of anbn
- 13. Let an be an arithmetic sequence with positive items, odd items, nonzero tolerance, and the sum of items is 2004, then A2 =?
- 14. In the sequence {an}, A1 = 1, A2 = 6, a_ n+2=A_ N + 1-an, then A2010 is equal to?
- 15. If the sequence {an} satisfies A1 = 3 / 2, an + 1 = an ^ 2-An + 1 (n belongs to positive integer), then M = 1 / A1 + 1 / A2 + +What is the integer part of 1 / A2009?
- 16. Let f = {a n + F} be an odd function (a n) = {a n + S N)}, where f = {a n + F} is an odd function (a n) = {a n + F} A. -3B. -2C. 3D. 2
- 17. The sequence {an} satisfies an + 1 = 2An 0 ≤ an ≤ 1 / 2 an + 1 = 2an-1 1 / 2 ≤ an
- 18. The general term formula of known sequence {an} is an = log2 (n + 1 / N + 2) (n ∈ n *). Let the sum of the first n terms be Sn, then SN
- 19. How did human beings discover and record natural numbers
- 20. 48 = () × () × () × () 72 = () × () × () × ()