Advertisements
Advertisements
Question
The product of any three consecutive numbers is always divisible by 6. Justify this statement with an example
Solution 1
Yes.
Because one of every two consecutive integers is even and so the product of three consecutive integers is even and divisible by 2.
Also one of every 3 consecutive integers is divisible by 3.
Product of any three consecutive integers is divisible by 6.
Example: 5 × 6 × 7
Solution 2
2 × 3 × 4 = 24, which is divisible by 6
9 × 10 × 11 = 990, which is divisible by 6
20 × 21 × 22 = 9240, which is divisible by 6.
RELATED QUESTIONS
24x divisible by 6?
3×26 a multiple of 6?
State true or false and explain your answer with reason for the following statement.
A number is divisible by 6, if it is divisible by 12
Find A as required:
The greatest 3 digit number 9A6 is divisible by 6
Using the divisibility test, determine which of the following number is divisible by 6:
297144
Using the divisibility test, determine which of the following number is divisible by 6:
1258
Using the divisibility test, determine which of the following number is divisible by 6:
4335
Using the divisibility test, determine which of the following number is divisible by 6:
61233
Using the divisibility test, determine which of the following number is divisible by 6:
438750
Using the divisibility test, determine which of the following number is divisible by 6:
1790184
Using the divisibility test, determine which of the following number is divisible by 6:
12583
Using the divisibility test, determine which of the following number is divisible by 6:
639210
Using the divisibility test, determine which of the following number is divisible by 6:
17852
