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Byju's Answer
Standard VII
Mathematics
Step Diagram
Compare the n...
Question
Compare the number of factors of
729
and
144
using step diagram.
A
729
has more factors than
144
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B
144
has more factors than
729
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C
Both have same number of factors
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D
Can't say
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Solution
The correct option is
B
144
has more factors than
729
Step diagram for
729
:
Factors of
729
are
1
,
3
,
9
,
27
,
81
,
243
,
729
Hence, number of factors of 729 is 7.
Step diagram for
144
:
Factors of
144
are
1
,
2
,
3
,
4
,
6
,
8
,
9
,
12
,
16
,
18
,
24
,
36
,
48
,
72
,
144
Hence, factors of 144 are 15.
∴
Factors of 144 are greater than 729.
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