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

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Factoring and Multiples

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What is the prime factorization of 24

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Q: Why will a prime number times a prime number always equal a composite number?
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Related questions

Is the sum of a prime number and a composite number always even?

No, the sum of a prime number and a composite number is not always even.


What is the least common multiple of 20 and 41?

LCM of a prime number and a composite number is always equal to their product if the composite number is not a multiple of the prime number. Here, 41 is a prime number and 20 is a composite number. Therefore LCM(20,41) = 20 x 41 = 820


Is the sum of any two prime numbers always a composite number?

The sum of any two prime numbers is not always a composite number. The sum of 2 and 11 is 13, and 13 is a prime number, not a composite number.


Is 1099 a prime number or a composite number?

1099 is composite. It is equal to 7x157.


Is the sum of prime number and a composite number always even?

No.


When you multiply a prime and a composite number do you always get a composite number?

Product of a prime number and a composite number results in a composite number.Now consider the product of a composite number(a) and a prime number(b) is equal to c.i.e. c = a x bIt is clear that c is divisible by both a and b.Also c is divisible by itself and 1, this means that c has more than two factors.A number having more than two factors is composite, therefore product of a prime number and a composite number results in a composite number.


Is 76 composite or prime?

76 is a composite number. All even numbers, except for 2, are always going to be composite. A prime number is a number that can only be multiplied by 1.


When a composite number is divided by a composite number the quotient is a prime number?

Not always as for example 32/4 = 8


Is 384 a prime or composite?

If a number other than 2 ends in a even number, it will always be composite.


What is a composite and prime number that equal 98?

The prime factorisation of 98 is 2*7squared


When is product of 2 prime numbers a prime number?

The product of two prime numbers is always a composite number, and it never is a prime number.


Is a composite number times a composite number always composite?

Yes. To be composite, the first number has at least 2 prime factors, the second number also has at least prime factors; the product of the two will have at least 4 prime factors, so it must be a composite number.


Is 153 a prime or composite number or a prime number?

It is a composite number.


Is 294 a Prime or Composite number?

It is not a prime number, it is a composite number.


Is 1029 a prime or composite?

It is not a prime number, it is a composite number.


Is 605 a prime number or a composite number?

It is a composite number, not a prime number.


Is 138 prime or composite?

Composite since it ends in an even number it will always be divisible by 2


The prime factorization of any composite number includes prime and composite numbers True or false?

false sometimes it contains 2 primes it always comes out to a prime number


Is the product of 2 prime numbers always a composite number?

Yes


In math what is a prime number?

in math a prime number is a number with only 2 factors. the factors are the number 1 and the number itself. 1 is not a prime number nor composite. 2 is a prime number because its only factors are 2 and 1. any other even number will be composite because 2 and some other number will always equal an even number.


Is 251 a prime or composite number?

It is a prime number, and therefore not a composite number.251 is prime.


Is 211 a prime or composite number?

It is a prime number, and therefore not a composite number.211 is a prime number.


Is 211 prime or composite number?

It is a Prime number, and therefore not a composite number.211 is a prime number.


Will a prime number and a composite number always have a GCF of 1?

Not if the composite number is a multiple of the prime number.


Is 168 a prime or a composite number?

No 168 is not a prime number it is a composite number