Question

Using divisibility tests, determine which of the following numbers are divisible by 4; by 8:

1. 572
2. 726352
3. 5500
4. 6000
5. 12159
6. 14560
7. 21084
8. 31795072
9. 1700
10. 2150

Answer 1

(a) 572
$→$ Divisible by 4 as its last two digits are divisible by 4.
$→$ Not divisible by 8 as its last three digits are not divisible by 8.

---

(b) 726352
$→$ Divisible by 4 as its last two digits are divisible by 4.
$→$ Divisible by 8 as its last three digits are divisible by 8.

---

(c) 5500 **
$→$ ** Divisible by 4 as its last two digits are divisible by 4.
$→$ Not divisible by 8 as its last three digits are not divisible by 8.

---

(d) 6000
$→$ Divisible by 4 as its last two digits are 0.
$→$ Divisible by 8 as its last three digits are 0.

---

(e) 12159
$→$ Not divisible by 4 and 8 as it is an odd number.

---

(f) 14560
$→$ Divisible by 4 as its last two digits are divisible by 4.
$→$ Divisible by 8 as its last three digits are divisible by 8.

---

(g) 21084
$→$ Divisible by 4 as its last two digits are divisible by 4.
$→$ Not divisible by 8 as its last three digits are not divisible by 8.

---

(h) 31795072
$→$ Divisible by 4 as its last two digits are divisible by 4.
$→$ Divisible by 8 as its last three digits are divisible by 8.

---

(i) 1700
$→$ Divisible by 4 as its last two digits are 0.
$→$ Not divisible by 8 as its last three digits are not divisible by 8.

---

(j) 5500
$→$ Not divisible by 4 as its last two digits are not divisible by 4.
$→$ Not divisible by 8 as its last three digits are not divisible by 8.