Math, asked by meghabhat83, 5 hours ago

Is 8190 divisible by 6 (use test of divisibility)

Answers

Answered by saritadwivedigtk
0

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

Answered by akshat7432
0

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 !!

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