P is the product of all the prime numbers between 1 and 100. The number of zeroes at the end of P is?
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Answered by
1
Answer:
only one zero
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Answered by
0
Answer:
The number of zeroes at the end of P is 1
Step-by-step explanation:
We know that we obtain a digit ending in 0 only when 5 is multiplied with an even number.
We also know that 2 is the only even prime number.
We also have 5 as a prime number.
Therefore, when we will multiply all the prime numbers between 1 to 100,
There will be only 1 case of 5 being multiplied by an even number.
i.e. 5 x 2
This will give 10.
The rest of the multiplication of the prime numbers will lead to a number having no zeroes in the end.
Therefore, the number of zeroes at the end of P is 1
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