Q.3 Using divisibility tests, determine which of following numbers are divisible by 6:
(a) 297144
(b) 1258
(c) 4335
(d) 61233
(e) 901352
(f) 438750
(g) 1790184
(h) 12583
(i) 639210
(j) 17852

(a) 297144 – it is divisible by 2 because it’s unit digit is 4, it is also divisible by 3 because the sum of all digit is divisible by 3 so it is divisible by 6.
(b) 1258 – it is divisible by 2 because it’s unit digit is 8 but it is not divisible by 3 so it is not divisible by 6
(c) 4335 – it is not divisible by 2 because it’s unit digit is 5, so it is not divisible by 6
(d) 61233 - it is not divisible by 2 because it’s unit digit is 3, so it is not divisible by 6
(e) 901352- it is divisible by 2 because it’s unit digit is 2 but it is not divisible by 3 so it is not divisible by 6
(f) 438750 - it is divisible by 2 because it’s unit digit is 0, it is also divisible by 3 because the sum of all digit is divisible by 3 so it is divisible by 6.
(g) 1790184 - it is divisible by 2 because it’s unit digit is 4, it is also divisible by 3 because the sum of all digit is divisible by 3 so it is divisible by 6.
(h) 12583 - it is not divisible by 2 because it’s unit digit is 3, so it is not divisible by 6
(i) 639210 - it is divisible by 2 because it’s unit digit is 0, it is also divisible by 3 because the sum of all digit is divisible by 3 so it is divisible by 6.
(j) 17852 - it is divisible by 2 because it’s unit digit is 2, but it is not divisible by 3 so it is not divisible by 6