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## '14 Divisors' printed from http://nrich.maths.org/

The list below shows the first ten numbers together with their divisors (factors):

- $1$
- $1$, $2$
- $1$, $3$
- $1$, $2$, $4$
- $1$, $5$
- $1$, $2$, $3$, $6$
- $1$, $7$
- $1$, $2$, $4$, $8$
- $1$, $3$, $9$
- $1$, $2$, $5$, $10$

What is the smallest number with exactly twelve divisors?

What is the smallest number with exactly fourteen divisors?