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# What makes a factorization of a number a prime factorization?

Updated: 11/1/2022

Wiki User

11y ago

When all the factors are prime numbers, that's a prime factorization.

Wiki User

11y ago

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Q: What makes a factorization of a number a prime factorization?
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### How do you write out the prime factorization of a prime number?

The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?

### Is 53 prime factorization number?

53 is a prime number so there is no relevant prime factorization for it.

### What number has 2x2x2x2x3 as its prime factorization?

The only number with that prime factorization has to be 48.

### Can a number greater than 100 have only 1 number in it's prime factorization?

Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.

### What is the prime factorization of 421?

421 is a prime number so it does not have prime factorization.

### How do you know without dividing that 91 is not in the prime factorization of 75257?

91 cannot be in the prime factorization of any number because it is not a prime number itself.

### What is the prime factor of 19?

19 is a prime number, so it has no prime factorization.

### What is a prime factorization for a number is 3x3x3x5x7?

That's the prime factorization of 945.

### Is 23 a prime factorization?

23 is a prime number and does not require factorization.

### What is a diagram that shows the prime factorization of a number?

a prime factorization tree

### What is the prime factorization for eighty-nine?

Since 89 is a prime number, the prime factorization of the number is simply 89.

### Find the prime factorization for 153?

The prime factorization of 15332 &bull; 17153 is not a prime number