the product of first hundred prime numbers is always a/an
(1) Even number
(2) odd number
(3) Prime number
(4) number not divisible by 3
(please give the answer with solution)
Answers
Given : the product of first 100 prime numbers
To Find : this is always
(1) Even number
(2) odd number
(3) Prime number
(4) number not divisible by 3
Solution:
Prime numbers : Natural numbers only divisible by 1 and number it self.
2 ,3 , 5 , 7 , 11 ....
Composite number : Natural numbers divisible by atleast 1 number other than 1 and number itself
4 , 6 , 8 , 10
Product of first 100 prime numbers
2 x 3 x 5 x 7 x 11 x .. .. .. ..
Is divisible by many numbers Hence a composite number
Is has factor 2 hence even number
it has factor 3 hence divisible by 3 also.
Product of first hundred prime numbers is always an Even number
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