It is known that the simplest fraction ((q)/(p)) (both p and q are positive integers) can be reduced to pure recurring decimals, and p has 8 positive factors. What is the minimum value of p that satisfies the condition.
已知最简分数((q)/(p))(p、q均为正整数)可以化为纯循环小数，且p有8个正因数．满足条件的p的最小值为多少．
<gadget id="calculator">3 * 3 * 3 * 7</gadget>
<output>189</output>

<result>189</result>