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Is the Product of two Prime Numbers Is Also Prime?

10th Maths Note

BY Team Aakash Byju's

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The product of two primes can never be a prime.

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Because here, the product of two primes, p1 and p2, would be divisible by four factors, which is not prime.

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A prime is supposed to be divisible only by one and itself.

Therefore, 65 is not a prime number.

Let prime numbers be 5 and 13.

Product = 5*13                = 65

=> 65 has more than two factors (i.e 1,5,13,65).

For Example

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For Example

5 × 11 = 55 Here 55 has the factors “11” as well as “5″.  “55″can never be a prime number as it has factors other than 1 and itself. The same is true for all other prime products.