Is 8190 divisible by 6 (use test of divisibility)
Answers
A number is divisible by 6 if it is divisible by 2 and 3 both.
so 8190 divided by 6 is= 1365
please mark it brainliest I have never got brainliest please
Answer:
YES IT IS DIVISIBLE BY 6
Step-by-step explanation:
OK SO LET'S START FROM BASICS !!
DIVISIBILITY TEST FOR 6 : A NUMBER IS DIVISIBLE BY 6 IF IT IS DIVISIBLE BY 2 AND 3 BOTH .
NOW ACC. TO ABOVE STATEMENT THE NUMBER 8190 MUST BE DIVISIBLE BY 2 AND 3 , AND FOR THAT WE NEED TO KNOW DIVISIBILITY TESTS FOR 2 AND 3 RESPECTIVELY
SO ,
DIVISIBILITY TEST FOR 2 : ANY EVEN NUMBER IS DIVISIBLE BY 2 .
8190 IS AN EVEN NUMBER THUS IT IS DIVISIBLE BY 2 .
NOW SECONDLY ,
DIVISIBILITY TEST FOR 3 : IF THE SUM OF ALL DIGITS OF THE NUMBER IS DIVISIBLE BY 3
HENCE 8190 = 8+1+9+0 = 18
NOW WE ALL KNOW THAT 18 IS DIVISIBLE BY 3
THUS THE NUMVER 8190 IS DIVISIBLE BY BOTH 2 AND 3
THEREFORE IT IS ALSO DIVISIBLE BY 6 !!
HOPE THIS HELPED !!