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
Answers
Answer:
Step-by-step explanation:
to check the divisibility by 4 just take tens and unit place number and divide by 4, if the remainder is zero means the number is divisible by 4 and if the remainder is not zero then the number is not divisible by 4.
to check the divisibility by 8 just take hundred, tens and unit place number and divide by 8, if the remainder is zero means the number is divisible by 8 and if the remainder is not zero then the number is not divisible by 8.
options divisible by 4- a,b,c,d,e,f,g,h,j
options divisible by 8- a,c,d,g,h
Answer:
a) 4 - yes, 8 - yes.
b) 4 - yes, 8 - no.
c) 8- no, 4 - yes.
d) 4 - yes, 8 - yes.
e) 4 - yes - 8 - no
f) 4 - yes, 8 - no.
g) 4 - yes, 8 - yes.
h) 4 - yes, 8-no
i) 4-no, 8-no
j)8-no, 4-yes
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Step-by-step explanation:
to check divisibility of a number by 4 and 8, the following should be followed.
- it's last 2 numbers should be divisible by 4 to be divisible 4.
- it's last 3 numbers should be divisible by 8 to be divisible by 8.
- if a number is divisible by 8, it is definitely divisible by 4.
a) 8. 592 are the last 3 numbers of 592. and 592 is divisible by 8
4. 92 are the last 2 digits of 592. 92 is divisible by 4, so 592 is divisible by 4.
b) 356 is not divisible by 8, so it is not a multiple of 8.
56 is divisible by 4, so it is a multiple of 4.
c) 600 is not divisible by 8, so the number is not a multiple of 8.
00 is a multiple of 4, so the number is divisible by 4.
d)000 is divisible by 8, so it is a multiple of 8.
00 is a multiple of 4, so the number is divisible by 4.
e) 156 is not divisible by 8, so 12156 is also divisible by 8.
56 is a multiple of 4, so the number is divisible by 4.
f) 084 is not divisible by 8, so the number is not a multiple of 8.
84 is divisible by 4, so the number is a multiple f 4.
g) 800 is divisible by 8, so this number is a multiple of 8.
f 00 is divisible by 4, so the number is also a multiple of 4.
h) 128 is not divisible by 8, so the number is not divisible by 8.
28 is a multiple of 4, so the number is divisible by 4.
i) 678 is not divisible by 8, so the number is also not divisible by 8.
78 is not a multiple of 4, so the number is not a multiple of 4 either.
j) 060 is not a multiple of 8, so the number is not divisible by 8.
60 is a multiple of 4, so this number is divisible by 4.