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# How do you know a number is not in the prime factorization of another number without dividing?

Updated: 4/7/2020

Wiki User

7y ago

In general, you cannot.

Wiki User

6y ago

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Q: How do you know a number is not in the prime factorization of another number without dividing?
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### Dividing a number down into its primes is called?

The 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.

### Is there another number that has the prime factorization of 2626?

No. Each composite number has its own unique prime factorization.

### How you get a prime factorization?

Keep dividing the original number by smaller prime numbers until the results are all prime.

### Is there another number with a prime factorization of 64 times 15625?

Every composite number has its own unique prime factorization.

the quotient

6

quotient

### When dividing 5 by 4 is your answer rational number explain?

A rational number is, by definition, the answer from dividing one integer by another.

### how do you work out prime factorization of 140?

It is: 2*2*5*7 = 140 by dividing it by each prime number that has no remainder

yes

quotient