write true or false. a)The number 2,74,146 is divisible by 6.
pls explain
Answers
Answer:
YES IT IS DIVISIBLE BY 6
Step-by-step explanation:
FOR A NUMBER TO BE DIVISIBLE BY 6 IT HAS RO FIRST GET DIVIDED BY 2 AND 3 BOTH
2,74,146 ENDS WITH 6 WHICH IS AT ONES PLACE
AND A NUMBER IS DIVISIBLE BY 2 IF ONES PLACE IS 0,2,4,6,8
SO THE NUMBER IS DIVISIBLE BY 2
2,74,146 IF WE ADD ALL THE DIGIT'S IT'S SUM IS 24 WHICH IS A MULTIPLE OF 3
AND A NUMBER IS DIVISIBLE BY 3 IF THE SUM OF ALL DIGIT'S IS A MULTIPLE OF 3
SO THE NUMBER 2,74,146 IS DIVISIBLE BY 2 AND 3 BOTH
THEREFORE THE GIVEN NUMBER THAT IS
2,74,146 IS DIVISIBLE BY 6
Answer:
Yes it is Divisible by 6.
For Divisibility of a number by 6,We Check the Divisibility of the number by 2 & 3(Because 2 & 3 are the factors of 6).
And For Divisibility of a number by 2 ,the last digit of the number should be Divisible by 2.
As the number 2,74,146 has last digit as 6 which is Divisible by 2.So the Number will also Divisible by 2.
And For Divisibility of a number by 3,the sum of digits if the number should be Divisible by 3.
As The sum of digits if number 2,74,146=2+7+4+1+4+6=24 which is Divisible by 3.So the number will also Divisible by 3.
As We see the Given number is Divisible by 2 as well as 3.Therefore the Given number will be Divisible By 6.