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# Why must the product of any two numbers greater than 1 be a composite number?

Updated: 4/28/2022

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15y ago

A composite number is a positive integer which has a positive divisor other than one or itself. In other words, if 0 < n is an integer and there are integers 1 < a, b < n such that n = a × b then n is composite. By definition, every integer greater than one is either a Prime number or a composite number. The number one is a unit - it is neither prime nor composite. For example, the integer 14 is a composite number because it can be factored as 2 × 7.

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Q: Why must the product of any two numbers greater than 1 be a composite number?
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Related questions

### How do you know that the product of any 2 numbers greater than 1 must be a composite number?

1 is neither a prime or composite number

### What is the number or product of a number and a variable?

if divide the prime numbers by the compositenumber it will give you a greater number that is either a prime number or composite.

### How do you know that the product of any two numbers greater than i must be a composite number?

Prime numbers have only two factors: one and themselves. By definition, your product would have more than that: one, the product and at least the two numbers that created the product. It has to be composite.

### What are the number that greater than 2 are composite?

There are an infinite amount of numbers greater than two that are composite numbers. Every even number, for instance, is a composite number

### How do you know that the product of two numbers greater than 1 must be a composite number?

That is how a composite number is defined! It cannot be prime if it is a product of two integers that are bigger than one.

### Prime is writing a composite number as a product of prime numbers?

Prime factorization is writing a composite number as a product of prime numbers.

composite

### Why is 92 a composite number?

92 is an even number greater than 2 and all even numbers greater than 2 are composite numbers.

### What are composite nos?

A composite number is an integer which is the product of two or more integers which greater than 1.

### Product of prime numbers?

A composite number.

### Is 10946 a composite number?

Yes. 10946 is an even number greater than 2. All even numbers that are greater than 2 are composite numbers.

### Is 2304 a composite number?

All even numbers greater than 2 are composite numbers, and 2304 is an even number.