Study guides

☆

Q: Is the product of 2 prime numbers always even?

Write your answer...

Submit

Still have questions?

Related questions

No.

No. 2 is a prime number, and any product of 2 and another prime number will be even.

Yes, it is. Any whole number times an even number will be even. This is because whole numbers can be represented as the product of their prime factors. Every even number contains 2 as a prime factor (thereby excluding all even numbers above 2 from being prime.) Additionally, the product of any two numbers is equal to the product of their prime factors. This means that the result of multiplying an even number by a whole number will always have a prime factor of 2, making it an even number.

No, the product will always be even.

Not always true because 2 times 13 = 26 which is an even number

There are an infinite amount of such numbers.

No. Since 2 is a prime and any number multiplied by an even is even, the product of all primes must be even.

No, as 2 is a prime number, the product of 2 prime numbers can be even But all other prime numbers (except 2) are odd then their product is odd (2 x n1+1) x (2 x n2+1) = 2 x (2 x n1 x n2 + n1+ n2) +1

Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".

YES!

Not quite true . . . the number '2' is a prime number. All the rest of the even numbers cannot be prime because they always can be divided by 2.

In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.

People also asked