The H.C.F. of 3150 and a number is 42. Which of the following can be the number?
A. [tex]2^{2}[/tex] x [tex]3^{2}[/tex] x 5
B. [tex]2^{2}[/tex] x [tex]3^{2}[/tex] x [tex]5^{2}[/tex]
C. [tex]2^{2}[/tex] x 3 x 7
D. [tex]2^{2}[/tex] x [tex]3^{2}[/tex] x 7


Answer :

[tex]2^{2} *3^{2} *5=4*9*5=4*45=180\\2^{2} *3^{2} *5^{2} =4*9*25=36*25=900\\2^{2} *3*7=4*3*7=4*21=84\\2^{2} *3^{2} *7=4*9*7=36*7=252\\[/tex]

[tex]raspunsul, e, B, 900[/tex]