Prime factorization refers to integers.
The prime factorization of 24 is found like this: 24= 6*4= 3*2*2*2. Therefore the prime factorization of 24 is 3*2*2*2.
Prime factors in exponents: 25*52 = 800
You find the prime factorization of 42 like this. You think what 2 number multiplied together give you 42: 6x7 7 is prime because the only factors it has is 1 and itself. 6 can be broken into 3x2. So you currently have 7x3x2. All these numbers are prime so you just found the prime factorization!
165 55,3 11,5,3
42=2x21 21=3x7 PF=2x3x7 The PF (Prime Factorization) of 42 is 2x3x7.(Sorry, I couldn't do a factor tree, there are always helpful to use when doing prime factorization, but since this is the computer, I could only do it like the following above.)
You use a factor tree, for the 2 denominators. Yes that is correct the answer on the top but it says 2 denominators. This is the real correct way To do Prime Factorization in fractions first prime factorization the numerator and then the denominator. then put the prime factorization of the numerator on top and put the prime factorization of the denominator on the bottom like fractions.
Like all the other positive composite integers, 64 has one unique prime factorization.
A factor rainbow, like factor trees, ladders, fireworks, lattices and cakes is a way to notate the process of finding the prime factorization of a given number. The process remains the same. If you would like to found a new method, just figure out a different way to write the numbers on the page.
Like so: 5 x 241
The prime factorization of 24 is found like this: 24= 6*4= 3*2*2*2. Therefore the prime factorization of 24 is 3*2*2*2.
Prime factors in exponents: 25*52 = 800
You find the prime factorization of 42 like this. You think what 2 number multiplied together give you 42: 6x7 7 is prime because the only factors it has is 1 and itself. 6 can be broken into 3x2. So you currently have 7x3x2. All these numbers are prime so you just found the prime factorization!
52 26,2 13,2,2
165 55,3 11,5,3
42=2x21 21=3x7 PF=2x3x7 The PF (Prime Factorization) of 42 is 2x3x7.(Sorry, I couldn't do a factor tree, there are always helpful to use when doing prime factorization, but since this is the computer, I could only do it like the following above.)
Writing down all the factors of both numbers requires too much time so it is not a good idea to find solution by writing each factor of both numbers. Method of prime factorization is one of the good methods to find GCF. Prime factorization is like breaking a number into other numbers, prime numbers, and this factorization is unique. Prime factorization is like a blueprint for numbers. Prime factorization of 1820 = 22 x 5 x 7 x 13 Prime factorization of 637 = 7 x 7 x 13 7, 13 and 7x13 are common in the prime factorization of both numbers, but 7x13 is the greatest among these numbers. So, 7x13 = 91 is the GCF of 1820 and 637.
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.