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The prime factorization of a number uses only primes.
Ex: The prime factorization of 12 is not 6 x 2, and not 4 x 3, because 6 and 4 are not prime numbers. The prime factorization is 2 x 2 x 3. Their product is 12 and all factors are prime numbers.
To get a prime factorization you are usually taught to factor through division by small prime numbers, sometimes you must use the same number more than once as in the example of 12 above 2 was used twice.
Ex: find the prime factorization of 18.
The smallest prime is 2... divide by 2
18 / 2 = 9 .... for the next step divide 9 by a prime
9 / 3 = 3 ... this is a prme ... it is also a factor
so the prime factorization is 18 = 2x3x3
Ex. find the prime factorization of 35.
35 cannot be divided by 2, or 3, so use 5 first
35 / 5 = 7 .... since 7 is a prime we are finished.
The prime factorization of 35 is
35 = 5 x 7
Some teachers teach this using a "factor tree" .. I can't type one of those on a computer.
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Why is 83 x 93 is not a factorization of 7719?
It is a factorization. It's not a prime factorization because 93 isn't prime.
What is the factorization of 310?
310 Factorization: 2*5*31
What is the prime factorization or 3?
3 is already prime. No factorization.
What is the prime factorization of 2000000000000000000000000000000000000000000000000000000000000?
What is the prime factorization of 256^180
How do you do 19 in pime factorization?
19 is already prime; no factorization.
What does a factorization tree of 42 look like?
42 21,2 7,3,2
How does a prim factorization tree look like using the number 68?
6834,217,2,2
What does the prime factorization tree of 165 look like?
165 55,3 11,5,3
Prime factorization tree look like to 52?
52 26,2 13,2,2
How does the prime factorization chart for 800 look like?
Prime factors in exponents: 25*52 = 800
What does the prime factorization of 140 look like?
2 x 2 x 5 x 7 = 140
What does a prime factorization in written form look like?
2 x 3 x 5 x 7 = 210
Write the prime factorization of 10 and of 100 then look for a pattern to help you find the prime factorization of 1000?
The prime factorization of 10 is 2 x 5. The prime factorization of 100 is 2^2 x 5^2. The prime factorization of 1000 is 2^3 x 5^3.
How do you factor monomials?
All you do is write the prime factorization. I'll do an example: 50y First, you find the prime factorization of the coefficent using a factor tree, but it won't let me do that, so this is what the prime factorization should look like: 2x5x5 Then you add the variable: 2x5x5xy When you have a negative coefficent, just put a negative one in front of your answer. -50y = -1x2x5x5xy
What is all the prime multiplying factorization look like for 1000?
2 x 2 x 2 x 5 x 5 x 5 = 1000
What does a factor ladder look like?
*)1 5)5 3)15 2)30 The prime factorization of 30 is 2 x 3 x 5.
What are the prime factors of 594?
Prime factorization of 594 = 2x3x3x3x11 If we look at the prime factorization of 594 then it is clear that prime factors of 594 are 2, 3 & 11.
