Question

Compare the number of factors of $729$ and $144$ using step diagram.

• A. $729$ has more factors than $144$
• B. $144$ has more factors than $729$
• C. Both have same number of factors
• D. Can't say

Answer 1

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.

$\therefore$ Factors of 144 are greater than 729.