5A6 is a number divisible by '2' then write all possible value of a
Answers
Answer: " a = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ".
Since, if a number is even, or ends in zero, the number is divisible by "2" .
If the last digit of a number is an "even number" , the entire number is an even number.
As such: If the last digit of the number is an even number, then the last number is divisible by "2" .
Also, note that if the last digit of a number is "0" , then the number is divisible by "2" .
So: If the last digit of a number is "0" or an "even number" (i.e. "2, 4, 6, or 8" ), then the number is divisible by "2" .
Given: The number: " 5A6 " ; we note the number ends in "6" ; which is an "even number" . The middle digit, "A" , could be any digit: "0, 1 , 2, 3, 4, 5, 6, 7, 8 , or 9 " ) ; because the the last digit in the given number is still "6" ; which is an even number ; so entire number: "5A6" will be an even number; regardless of what digit, "A", is , and the number will still be divisible (evenly) by "2" .
As such: "A" could be: "0, 1, 2, 3, 4, 5, 6, 7, 8, or 9" .
___________________________________________
In fact:
___________________________________________
If "a = 0" : then: " 5A6 " = " 506 " ; 506 ÷2 = 253 .
___________________________________________
If "a = 1" : then: " 5A6 " = " 516 " ; 516 ÷2 = 258 .
___________________________________________
If "a = 2" : then: " 5A6 " = " 526 " ; 526 ÷2 = 263 .
___________________________________________
If "a = 3" : then: " 5A6 " = " 536 " ; 536 ÷2 = 268 .
___________________________________________
If "a = 4" : then: " 5A6 " = " 546 " ; 546 ÷2 = 273 .
___________________________________________
If "a = 5" : then: " 5A6 " = " 556 " ; 556 ÷2 = 278 .
___________________________________________
If "a = 6" : then: " 5A6 " = " 566 " ; 566 ÷2 = 283 .
___________________________________________
If "a = 7" : then: " 5A6 " = " 576 " ; 576 ÷2 = 288 .
___________________________________________
If "a = 8" : then: " 5A6 " = " 586 " ; 586 ÷2 = 293 .
___________________________________________
If "a = 9" : then: " 5A6 " = " 596 " ; 596 ÷2 = 298 .
___________________________________________
Hope this answer is helpful to you!
Best wishes!
_________________________________