Question

If the number 5 n6 is a multiple of 3 where n is a digit find the value of n

Answer 1

Answer:

1 is the answer

Explanation:

516/2 =258

516/3=172

Answer 2

Explanation:

for a number to be multiple of 3 the sum of its digits should also be a multiple of 3

Sum of digits is

$5 + 6 + n = 11 + n$

11+n will be a multiple of 3 when n is

$11 + 1 = 12 \\ 11 + 4 = 15 \\ 11 + 7 = 18$

therefore numbers are 516, 546, 576