the product of any three consecutive numbers is always divisible by 6. why is this so?
for class 6.plz don't write useless answers.
Answers
Answer:
yes
Step-by-step explanation:
1x2x3=6
2x3x4=24
cuz most of consecutive no. product is 6
let the three consecutive positive integers b n and n + 1 and 10 + 2 whenever a number is divided by 3 the remainder obtained is either 0 1 9 2 therefore an equals to 3 PO 3 + 1 or 3 + 2 where p is some integer if an equals to 3 p, then n is divisible by 3 if n is equals to 3 + 1, there and + 2 equals to 3 + 1 + 2 equals to 3p + 3 that all is equals to 3 (p+1) is divisible by 3 if n is equals to 3p + 2 then n + 1 equals to 3p+ 2 + 1 that is equals to 3p+ 3 equals to 3(p+1) is divisible by 3
pso we can say that one of the numbers among and, and + 1 and n + 2 is always divisible by 3 that is n(n+1)(n+2) is divisible by 3 similarly, that's the case with the number to show the number which is divisible by 2 and 3 is automatically divisible by 6
Step-by-step explanation:
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