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Q: How do you know when you have finished the prime factorization of a number?
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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.


Why does every number have a prime factorization?

I WANTED TO Know WHY NOT does it


How can you use prime factorization to know if two numbers are prime?

A prime number has no factors other than 1 and the number itself. If prime factorization of a number reveals one or more additional prime factors, the number is a composite.


Why is 46 not a prime number?

A number which has only two factors is called a prime number. Prime factorization of 46 is 2x23x1. Clearly from prime factorization of 46, we get to know that 46 is divisible by 1,2,23 and also by 46. There are four factors of 46, so it is not a prime number.


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

In general, you cannot.


What is the number with a prime factorization of 2x2x2x11x11x13?

The given sentence isn't a prime factorization since 9 isn't prime. The correct prime factorization of 495 is 3 x 3 x 5 x 11


Is there an easier way to write the definition for a prime factorization?

I define prime factorization as "expressing a given number as the product of its prime factors." I don't know how to make it easier than that.


When doing fourm factorization of a number how would you know of your answer is already prime?

When no other number can be divided into it except 1


How do you know when you finish a prime factorization?

When all of the factors are prime.


How do you know when have found the prime factorization?

The prime numbers total the number you started with. 2 x 2 x 3 x 3 = 36


Who made prime factorization?

I am sorry to say I don't THINK anyone know who invented/created/made prime factorization sorry :(


Describe how to use a factor tree to find the prime factorization of a number. how do you know are finished?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.