How many factors greater than 50, which are multiples of 3, are possible in 8400?  Choose the correct choice from the following answers:
A) 41 B) 31 C) 21 D) 11 E) 01
Prime factorisation of 8400- 2^4∗3∗5^2∗7   Number of factors of 8400 =   5*2*3*2= 
<gadget id="calculator">5*2*3*2</gadget>
<output>60</output>
60   Number of factors of 8400 which are not multiple of 3   5*2*3= 
<gadget id="calculator">5*2*3</gadget>
<output>30</output>
30   Number of factors of 8400 which are multiple of 3   60-30= 
<gadget id="calculator">60-30</gadget>
<output>30</output>
30   Factors which are multiple of 3 but less than 50-   3,6,12,15,21,24,30,42,48   Total-9   Number of factors of 8400 which are multiple of 3 but more than 50 are    30-9= 
<gadget id="calculator"> 30-9</gadget>
<output>21</output>
21   Answer:- 21
<result>C</result>
How many factors greater than 50, which are multiples of 3, are possible in 8400?