SOLUTION: Which number is divisible by 2 and by 3? (A) 112 (B) 4308 (C) 6122 (D) 23,451 (E) 701,456

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Which number is divisible by 2 and by 3? (A) 112 (B) 4308 (C) 6122 (D) 23,451 (E) 701,456       Log On


   



Question 307074: Which number is divisible by 2 and by 3?

(A) 112 (B) 4308 (C) 6122 (D) 23,451 (E) 701,456

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
any even number is divisible by 2.
When you add the digits of any number the total if divisible by 3 then the whole number s divisible by 3.
For example 2646 2+6+4+6 = 18 again add these two digits . 8+1 =9 . 9 is divisible by 3.
So 2646 is divisible by 3.
In your problem you have to select an even number and then test for divisiblity of 3.
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4308 is an even number. 4+3 +0+8 = 15. --- 5+1 = 6. 6 is divisible by 3 . so 4308 is divisible by 3 also.