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Byju's Answer
Standard VIII
Mathematics
Finding Square of a Number Using Identity
Prove that ...
Question
Prove that
(
⌊
33
)
is divisible by
2
16
. What is the largest integer
n
such that
(
⌊
33
)
is divisible by
2
n
?
Open in App
Solution
o
n
e
n
t
o
f
2
i
n
33
!
g
r
e
a
t
e
s
t
i
n
t
e
r
g
e
r
f
u
n
c
t
i
o
n
←
[
33
2
]
+
[
33
4
]
+
[
33
8
]
+
[
33
16
]
+
[
33
32
]
=
16
+
8
+
4
+
2
+
1
=
33
i
n
33
!
,
2
33
w
i
l
l
c
o
m
e
t
h
e
n
w
e
c
a
n
s
a
y
33
!
18
d
i
v
i
s
i
b
l
e
b
y
2
16
.
h
e
n
c
e
,
l
e
s
t
v
a
l
u
e
o
f
n
i
s
33.
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