48. \( 1,4,9,16,25 \) , and \( 36 \) are examples of perfect squares \( ( 1 = 1 ^ { 2 } \) 

\( 4 = 2 ^ { 2 } , 9 = 3 ^ { 2 } , 16 = 4 ^ { 2 } , 25 = 5 ^ { 2 } \) , and \( 36 = 6 ^ { 2 } ) .1 \) has \( 1 \) factor, 

\( 4 \) has \( 3 \) factors, \( 9 \) has \( 3 \) factors, \( 16 \) has \( 5 \) factors, \( 25 \) has \( 3 \) fac- tors, and \( 36 \) has \( 9 \) factors. a. What does the number of factors in these examples have in common? b. Make a conjecture about the number of factors of a perfect square.