they are 29 31 33
The numbers can be represented as n - 2, n and n + 2 so that (n - 2)n(n + 2) = 29667 This can be expressed as n(n2 - 4) = n3 - 4n = 39667 and the roots solved for a cubic equation. However, the problem can also be solved by factoring. If the numbers are a, b and c then a x b x c = 29667 and a, b and c are clearly factors of 29667. The factors of 29667 are 3 x 11 x 29 x 31 which can be stated as 33 x 29 x 31. The three consecutive numbers are therefore 29, 31 and 33.
There are no such numbers. The smallest set of three consecutive composite numbers is {8, 9, 10} and the product of these numbers is 720.
3 x 4 x 5 = 60 The three consecutive numbers are 3, 4, and 5.
Three consecutive odd numbers: 3, 5, 7
The numbers are 30, 31 and 32.
The average of the three numbers will have to be 29667/3 = 9889. Taking one odd number from each side means that the three odd numbers in the sum would be 9887 + 9889 + 9891 = 29667.
The numbers can be represented as n - 2, n and n + 2 so that (n - 2)n(n + 2) = 29667 This can be expressed as n(n2 - 4) = n3 - 4n = 39667 and the roots solved for a cubic equation. However, the problem can also be solved by factoring. If the numbers are a, b and c then a x b x c = 29667 and a, b and c are clearly factors of 29667. The factors of 29667 are 3 x 11 x 29 x 31 which can be stated as 33 x 29 x 31. The three consecutive numbers are therefore 29, 31 and 33.
There are no such numbers. The smallest set of three consecutive composite numbers is {8, 9, 10} and the product of these numbers is 720.
3 x 4 x 5 = 60 The three consecutive numbers are 3, 4, and 5.
Three consecutive odd numbers: 3, 5, 7
The numbers are 30, 31 and 32.
3,4,5
24,25,26
Yes, the product of any three consecutive numbers is divisible by 6. This is because among any three consecutive integers, at least one of them is even (ensuring divisibility by 2), and at least one of them is divisible by 3. Since 6 is the product of 2 and 3, the product of any three consecutive numbers is therefore divisible by 6.
0,6,18,36,60,90,126,168, etc
5*6*7 = 210
They are: 8*9*10 = 720