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# Why do you say the prime factorization of 100 instead of a prime factorization of 100?

Updated: 4/28/2022

Wiki User

7y ago

Because 100 only has one prime factorization.
Because each composite whole number has a unique prime factorization.

Wiki User

7y ago

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Q: Why do you say the prime factorization of 100 instead of a prime factorization of 100?
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### Why do you say the prime factorization instead a prime factorization?

Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.

### The prime factorization of 120 is not 2x3x4x5 say why?

Because 4 is not a prime number.

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

### What can you say about the prime factorization of the denominator of the rational number 34 5478?

If that's 34/5478, I can say the prime factorization of the denominator is 2 x 3 x 11 x 83

### What can you say about the prime factorization of square numbers?

Each prime factor will appear an even number of times.

### What is another name for factor tree?

if its a math one i say prime factorization.

### What does the Prime Factorization Theorem say?

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 is either prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not.

### Does a factor have to be a whole number?

If you are thinking of prime factorization of integers, yes, a prime number more specifically

### 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.

### How do you prime factorization?

To find the prime factorization of a number, divide the number by each prime number up to the greatest prime that will go into the number leaving no remainder.As an example, this is the process for factorization of 648:648/2=324324/2=162162/2=8181/3=2727/3=99/3=33/3=1Listing each divisor as a prime factor, the prime factorization of 648 is 2x2x3x3x3x3 (or 23x34 in exponential form).Keep dividing the original number by prime numbers until all the factors are prime. A large majority of the numbers you will encounter are multiples of 2, 3, 5 and/or 7. Start there.well first of all you need to know what prime factorization means: prime factorization is the process of decomposing a number into its constituent prime numbers; the calculation of all prime factors in a number. Step 1: write your number down and draw 2 diaganal lines down on each side no w you will need to find to factors that will multiply equally to get the number. say you had 10 the two numbers would be 2 * 5= 10, 2 is prime and 5 is prime so you cirle both of them and your prime factorization would be 10=2x5 and that is how you do prime factorization. EX. BELOW

### Why 1 is not prime number?

It's a question of how "prime" is defined. Mathematicians have chosen not to include 1 in their set of prime numbers, possibly because they feel it makes things easier.Every positive integer can be written as a product of prime numbers (prime factorization). In fact, every positive integer has only one prime factorization. (Reordering the primes doesn't count, e.g. 2x3x3 is the same as 3x2x3.) This would no longer be true if 1 was a prime number. For instance: 14 = 2x7 = 1x2x7 = 1x1x2x7 = 1x1x1x2x7. Every positive integer would have infinitely many prime factorizations. You's have to rewrite the theorem to say "...only one prime factorization WITHOUT A 1", which would be more awkward.There are probably more examples out there, but I can't think of any good ones at the moment.

### How many lakh make one crore?

100 lakhs. So you can say, "I have 2 lakhs", or "I have 99 lakhs", but instead of saying, "I have 100 lakhs", you would say, "I have 1 crore".