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The prime factorization.

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Q: What lists all the prime factors for a number?
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Which lists all of the prime factors of 60?

2, 3 and 5.


Would you rather find all the factors of a number or find all the prime factors of a number?

Once all the prime factors of a number have been found, the number of factors the number has and what they are can be found. I'd be finding the prime factors first before finding all the factors of a number, so I'd rather find all the prime factors as it means I can stop before I have to do more work in finding all the factors.


What is the difference between factors of a number and prime factors of a number?

All numbers have factors. Some factors are prime numbers. These are known as prime factors. The set of prime factors is a subset of the set of factors for any given number.


What are all the prime factorizations?

You cannot list all the potential prime factors. Any prime number can be a prime factor. There are an infinite number of prime numbers, so there are an infinite number of potential prime factors. If given a specific number, the prime factors for it can be listed.


How is prime factorization different from finding factors of a number?

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.


What prime number has only 2 factors?

All prime numbers have only 2 factors. A prime number has 1 and itself as its only factors.


Will you get the same number of factors if you multiply a prime number by itself?

All prime squares have three factors.


What are factor lists?

Not to overstate the obvious, but factor lists are lists of factors. Once you have found all the factors of a number, it is customary to list them from least to greatest.


What number has all prime factors?

There is no such number. All numbers have a common factor of 1, which is neither prime nor composite. Any composite number can be reduced to its prime factors.


Which shows all the factors of a prime number?

The number 1 and the prime number itself.


What is all of the factors of 23?

As 23 is a prime number, it has only two factors, the number one and itself. The factors of 23 are: 1 23 The prime factors are: 23 is a prime number.


What are all of the prime no?

All numbers that only have one and itself as factors are prime. Therefore, to tell if a number is prime simply find it's factors. If it has more than two factors than it is not a prime number, it is composite.