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Byju's Answer
Standard XII
Mathematics
Properties of Iota
Let N = 22×...
Question
Let N =
2
2
×
3
3
×
7
4
How many factors of number N are in the form 4k + 1,
(
k
ϵ
N
)
A
9
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B
13
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C
11
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D
12
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Solution
The correct option is
B
9
For number of form
4
K
+
1
it must be of form
3
b
×
7
c
with
b
+
c
as even.
Way of choosing
b
and
c
=
4
and
5
each so
20
.
Out of these
20
, only
9
shall be even.
Hence the answer is
9.
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0
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Q.
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