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# Is the prime number and prime factor the same definition?

Updated: 10/18/2022

Wiki User

8y ago

It depends how its used. 3 is a Prime number. 3 is a prime factor of 12.

Wiki User

8y ago

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Q: Is the prime number and prime factor the same definition?
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### Is a prime number the same as a prime factor?

If you are talking about the number itself, they can be the same. To be specific: A prime number is a number that only has the factors 1 and itself. A factor is a number that when multiplied creates a product. A prime factor is a prime number that is multiplied to create a product.

### Is a prime factor the same as a proper factor?

No, a prime factor is a single factor that is a prime number. A proper factor is a member of the set of factors that doesn't include one and the number itself.

### What is the definition to factor pairs?

its a factor with two pairs of the same number

### Why is 1 excluded as a prime number since it is divisible by 1 and itself?

A prime number has exactly two factors, which are 1 and itself. The number 1 has only one factor, since 1 and itself are the same number. Therefore, it does not meet the definition of a prime number. It is known as unity. It is neither a composite number nor a prime number.

### How do you factor to prime numbers?

same number multiplied by one

### Is prime factors the same as prime numbers?

Prime number refers to what they are; prime factor refers to what they do. A number doesn't become a factor until it is multiplied. 2 and 3 are prime numbers. 2 and 3 are prime factors of 6.

### What is common prime factors?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are common factors. If the factor is a prime number, it is a common prime factor. 3 is a prime number. 3 is a factor of 9. 3 is a factor of 12. 3 is a common prime factor of 9 and 12.

### What prime number from 0ne to a hundred that has the most factors?

There is no prime number from one to a hundred that has more factors than any other prime number. By definition, a prime number has exactly two factors, 1 and itself. The number 1 has only one factor - itself. All prime numbers have exactly the same number of factors - two. Composite numbers have more than two factors.

### What number only has 1 number in prime factorization?

Prime numbers only have one prime factor. Prime factorizations have at least two. Sometimes they're the same number (2 x 2 = 4) so we could say it has one distinct prime factor.

### Can the greatest common factor and the least common multiple have the same number in prime factorization?

Only if they're the same number.

### Why isn't one the lowest prime number?

Why isn't 1 the lowest prime number?The definition of a prime number is: A number whose only factors are 1 and itself. Therefore meaning, 1 isn't a prime number because 1 and itself is the same number. Which makes, 2 the lowest prime number.

### Which two multiples of 13 are co-prime number?

No multiples of the same number greater than one can be co-prime, since they will both have that number as a factor.