How many factors does the integer 9999 have?

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How many factors does the integer 9999 have?

A. 6
B. 8
C. 10
D. 12
E. 15


OA D

Source: Veritas Prep

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BTGmoderatorDC wrote:
Wed May 10, 2023 6:35 pm
How many factors does the integer 9999 have?

A. 6
B. 8
C. 10
D. 12
E. 15


OA D

Source: Veritas Prep
Factorise \(9999 = 3 \cdot 3 \cdot 11 \cdot 101\)
\(= 3^2 \cdot 11^1 \cdot 101^1\)
Number of factors \(= (2+1)(1+1)(1+1)\)
\(= 3\cdot 2 \cdot 2\)
\(=12\)

Therefore D