How many zeros are there at the end of the product 33 x 175 x 180 x 12 x 44 x 80 x 66?
(A) 2
(B) 4
(C) 5
(D) 6
(E) 7
many zeros are there
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Hi,
33 x 175 x 180 x 12 x 44 x 80 x 66
= 3 * 11
* 5 * 5 * 7
* 5 * 2 * 2 * 3 * 3
* 3 * 2 * 2
* 2 * 2 * 11
* 2 * 2 * 2 * 2 * 5
* 2 * 3 * 11
Hence, there are four 5's and eleven 2's. These will combine to give four 10's.
Hence, # of zeroes is 4.
33 x 175 x 180 x 12 x 44 x 80 x 66
= 3 * 11
* 5 * 5 * 7
* 5 * 2 * 2 * 3 * 3
* 3 * 2 * 2
* 2 * 2 * 11
* 2 * 2 * 2 * 2 * 5
* 2 * 3 * 11
Hence, there are four 5's and eleven 2's. These will combine to give four 10's.
Hence, # of zeroes is 4.
Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai