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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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