Q. 64.1( 18 Votes )

If the prime factorization of a natural number n is 23 × 32 × 52 × 7, write the number of consecutive zeros in n.

Answer :

If any number ends with the digit 0, it should be divisible by 10,


i.e. it will be divisible by 2 and 5.


Prime factorization of n is given as 23 × 32 × 52 × 7.


It can be observed that there is (2 × 5) × (2 × 5)


10 × 10 = 100


Thus, there are 2 zeros in n.


The number of consecutive zeros in n is 2.


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