
is a prime number. Is it true? Justify.
Answer
506.4k+ views
Hint:
Prime number: A prime number is a natural number greater than 1 that has no positive integer divisors other than 1 and itself. For example, 7 is a prime number because it has no positive divisors other than 1 and 7 itself.
Complete step by step solution:
Given number:
Simplify the given number
Let the product of the number be (P)
A prime number is a positive integer that has two factors. One factor will be 1 and another factor will be the number itself. If any number has exactly two factors, then the number will be a prime number else a composite number.
But here we can clearly see that the number has two other factors and other than 1 and itself .
Hence, we can conclude that the given number is a composite number and not a prime number.
Note:
If any number can be written ; where , will have and as factors of that number other than 1 and itself. This type of numbers will always form composite numbers.
Prime number: A prime number is a natural number greater than 1 that has no positive integer divisors other than 1 and itself. For example, 7 is a prime number because it has no positive divisors other than 1 and 7 itself.
Complete step by step solution:
Given number:
Simplify the given number
Let the product of the number be (P)
A prime number is a positive integer that has two factors. One factor will be 1 and another factor will be the number itself. If any number has exactly two factors, then the number will be a prime number else a composite number.
But here we can clearly see that the number has two other factors
Hence, we can conclude that the given number
Note:
If any number
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