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If you multiply two prime numbers, the product (result) will be a composite number, not a Prime number. A prime number has exactly two factors, 1 and itself. The product of two prime numbers will have those two numbers as factors, as well.

The sum of two prime numbers might be prime if one of those two numbers is 2, the only even prime number, but otherwise it will not be a prime because two odd numbers will have an even sum, which means it is divisible by 2.

Examples:

2 + 3 = 5 (prime)

3 + 7 = 10 (not prime)

13 + 17 = 30 (not prime)

If you multiply two prime numbers, the sum of the digits of the product might or might not be prime.

Examples:

2 x 7 = 14, sum of digits is 5 (prime)

2 x 11 = 22, sum of digits is 4 (not prime)

3 x 5 = 15, sum of digits is 6 (not prime)

3 x 7 = 21, sum of digits is 3 (prime)

5 x 7 = 35, sum of digits is 8 (prime)

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Q: A prime number times another prime number is?

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A prime number times a prime number is a composite number. Since prime numbers, except for 2, are odd numbers, a prime number times a prime number is usually an odd number. It will only be an even number if one of the prime numbers is 2. A prime number times a prime number will be a number with four factors unless both prime numbers are the same, in which case it will be a square number with only three factors.

This is impossible. A prime number is defined as a number that is only divisible by one and itself. Thus, a 'prime' number capable of being divided by another prime number is by definition not a prime number.

The product of two prime numbers can never be another prime number, the numbers that you multiplied are factors of the product. (example, 9 times 5 is 45, 9 and 5 go into 45)

Composite.

the two prime numbers will be factors of that number, which would make that number a composite number

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Every composite number has its own unique prime factorization.

As a product of its prime factors: 2*2*2*5 = 40 or as 23*5 = 40

A prime number times a prime number is a composite number. Since prime numbers, except for 2, are odd numbers, a prime number times a prime number is usually an odd number. It will only be an even number if one of the prime numbers is 2. A prime number times a prime number will be a number with four factors unless both prime numbers are the same, in which case it will be a square number with only three factors.

Only 1 and 59 - it's a prime number.

Because you can not divide it into anything. Another answer: What is 17 times 23?

This is impossible. A prime number is defined as a number that is only divisible by one and itself. Thus, a 'prime' number capable of being divided by another prime number is by definition not a prime number.

Yes, 11 is a prime number which can be a prime factor of another number

if the number is not divisible by another number

The product of two prime numbers can never be another prime number, the numbers that you multiplied are factors of the product. (example, 9 times 5 is 45, 9 and 5 go into 45)

Because it immediately follows another prime number.

2 is the only known even prime number

It means to be able to times prime numbers to get the number you have.

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