Q. How many zeroes are there are at the end of the product 125×16×92×15×12×75× 24 ?

Answer :

To find out how many zeros at the end of the product 125 × 16 × 92 × 15 × 12 × 75 × 24

We know the product of what numbers when multiplied ends in a zero:

1 ) When one of the things being multiplied ends in zero itself.
2 ) A number ending in 5 multiplied by an even number.
3 )  25, 50 and 75 when multiplied by some of the small numbers available eg (4, 2 and 6) generate an extra zero.

Here we find values of 125 × 16  =  2000
And
92 × 15  =  1380

And
12 × 75  = 900

So we have 

2000 ×  1380  ×  900  ×  24  , we can write it as :

2 ×  1000 ×  138 ×  10 ×  9 ×  100 ×  24  , So

2 ×  138 ×  9 ×  24 ×  1000000 

So product of these numbers gives 6 zeros at the end of the product value .

So,

Our number of zeros  =  6  at the end of the product .  ( Ans )



 

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