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many zeros are there

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many zeros are there

by sanju09 » Thu Jul 08, 2010 12:57 am
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
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by 4GMAT_Mumbai » Thu Jul 08, 2010 1:33 am
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.
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by selango » Thu Jul 08, 2010 1:44 am
To find the number of zeroes,we need to find number of 10's.

Number of 10's s actually provided by number of 5's.

In this product there are 4 5's.So there will be 4 10's

Hence 4.
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