Prime factorization is a term that applies to any positive integer and has no particular relation to denominators, except it a useful concept in reducing fractions sto lowest terms.
The term means to divide a number into primes, which means numbers that can not be divided further.
Example: the prime factorization of 24 is 2*2*2 * 3 ( I use the symbol * to mean multiply)
For is 60 is 2*2*3*5
for 49 is 7*7
for 47 is just 47 since this is a prime.
To reduce a fraction to lowest terms, find the prime factorization of both the denominator and the numerator and cancel all the common factors.
Example : reduce 84/120
84= 2*2*3*7
120 = 2*2*2* 3* 5
so 2 can be canceled twice , and 3 once, so
the answer is 7/ 2*5 = 7/10
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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.
Any fraction with a denominator which has a prime factorization that includes any prime other than 2 or 5, it can produce repeating decimals.If the prime factorization of the denominator does not include 2 nor 5 then the decimal representation will be a repeating decimal.
Prime factorization of 90 = 2x3x3x5
Prime factorization for 128 is 27
The prime factorization of 122 is: 2 × 61 The prime factorization of 35 is: 5 × 7 The prime factorization of 120 is: 2 × 2 × 2 × 3 × 5 The prime factorization of 15 is: 3 × 5