Question

2. Check the divisibility of the following by 4 and 8 :
(a) 592 (b) 726356 (c) 5600 (d) 8000
(e) 12156 (f) 21084 (g) 17800 (h) 96128
(i) 4678 (j) 99060​

Answer 1

Explanation:

2a) 592→ The last two digits 92 is divisible by 4 as the quotient comes 23. ∴592 is divisible by 4

592→ The last three digits 592 is divisible by 8 as the quotient comes 74. ∴592 is divisible by 8

2b) 726356→ The last two digits 56 is divisible by 4 as the quotient comes as 14. ∴726356 is divisible by 4.

726356→ The last three digits 356 is not divisible by 8 as the quotient comes 44.5. ∴726356 is not divisible by 8.

2c) 5600→ The last two digits 00 is divisible by 4.

∴5600 is divisible by 4.

5600→ The last three digits 600 is divisible by 8 as the quotient comes 75. ∴5600 is divisible by 8.

2d) 8000→ The last two digits 00 is divisible by 4.

∴8000 is divisible by 4.

8000→ The last two digits 000 is divisible by 8.

∴8000 is divisible by 8.

2e) 12156→ The last two digits 56 is divisible by 4 as the quotient comes as 14. ∴12156 is divisible by 4.

12156→ The last three digits 156 is not divisible by 8 as the remainder comes 4. ∴12156 is not divisible by 8.

2f) 21084→ The last two digits 84 is divisible by 4 as the quotient comes as 21. ∴21084 is divisible by 4.

21084→ The last three digits 084 is not divisible by 8 as the remainder comes 4. ∴21084 is not divisible by 8.

2g) 17800→ The last two digits 00 is divisible by 4. ∴17800 is divisible by 4.

17800→ The last three digits 800 is divisible by 8 as the quotient comes 100. ∴17800 is divisible by 8.

2h) 96128→ The last two digits 28 is divisible by 4 as the quotient comes 7. ∴96128 is not divisible by 8.

96128→ The last three digits 128 is divisible by 8 as the quotient comes 16. ∴96128 is divisible by 8.

2i) 4678→ The last two digits 78 is not divisible by 4 as the remainder comes 2. ∴4678 is not divisible by 4.

4678→ The last three digits 678 is not divisible by 8 as the remainder comes 6. ∴4678 is not divisible by 8.

2j) 99060→ The last two digits 60 is divisible by 4 as the quotient comes 15. ∴99060 is not divisible by 4.

99060→ The last three digits 060 is not divisible by 8 as the remainder comes 4. ∴99060 is not divisible by 8.

Answer 2

Answer:

23 and 7 ,14, 00 , 00 , 14 21 0p 100