Question

A "factor-rich" integer is defined as one for which the sum of its positive factors, not including itself, is greater than itself. Which of the following is a "factor-rich" integer?A. 6B. 8C.10D.12

Answer 1

We will determine it as follows:

A. The factors of 6 are 1, 2, 3 & 6, thus:

$1+2+3=6$

So, 6 is not a "factor-rich" integer.

B. The factors of 8 are 1, 2, 4, 8, thus:

$1+2+4=7$

So, 8 is not a "factor-rich" integer.

C. The factors of 10 are 1, 2, 5 & 10, thus:

$1+2+5=8$

So, 10 is not a "factor-rich" integer.

D. The factors of 12 are 1, 2, 3, 4, 6 & 12. thus:

$1+2+3+4+6=16$

So, 16 is a "factor-rich" integer.