if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ), what is the smallest possible positive value of n?	Choose the correct choice from the following options:  A) 75  B) 125  C) 145  D) 175  E) 225
<gadget id="calculator">5 * 7</gadget>
<output>35</output>

<gadget id="calculator">35 * 2</gadget>
<output>70</output>

<gadget id="calculator">70 + 70</gadget>
<output>140</output>

<gadget id="calculator">140 + 70</gadget>
<output>210</output>

<gadget id="calculator">210 + 7</gadget>
<output>217</output>

<gadget id="calculator">217 + 4</gadget>
<output>221</output>

<gadget id="calculator">221 + 4</gadget>
<output>225</output>

<result>E</result>
if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ), what is the smallest possible positive value of n?
add(add(add(add(add(multiply(multiply(5, 7), 2), multiply(multiply(5, 7), 2)), multiply(multiply(5, 7), 2)), 7), const_4), const_4)
( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) has one appearance of 3 ( in the 6 ) and no appearances of 5 . thus n must include at least 3 ^ 2 * 5 ^ 2 = 9 * 25 = 225 the answer is e .