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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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Q: What is the Prime factorization of denominator?
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What is prime factorization in fractions?

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.


Prime factorization of the numerator and the denominator?

140/700


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 is the prime factorization of the denominator of 0.5?

2 x 5 = 10


What is the prime factorization of both the numerator and the denominator of the fraction?

Take 30/42, for example. The prime factorization of the numerator (30) is 2 x 3 x 5. The prime factorization of the denominator (42) is 2 x 3 x 7. This will help you find the GCF or the LCM.


What fractions could become a repeating decimal?

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.


When reducing a fraction using prime factorization of the over the factorization of the denominator?

When reducing a fraction, find the GCF of the numerator and denominator and divide them both by it. If the GCF is 1, the fraction is already in its simplest form.


How do you use a factor tree to find a Least Common Denominator?

The factor tree finds the prime factorization of a given number. Combining the prime factorizations of two denominators correctly will give you their least common denominator.


What is the prime factorization of both numerator and denominator 875 over 1000?

875 = 53*7 1000 = 23*53


How can you use prime factorization to write a fraction in simplest form?

The idea is to divide numerator and denominator of a fraction by any common factors. Prime factorization is simply used to find all possible factors.


Is 3x5x4 a prime factorization of 60?

No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.


What makes a factorization of a number a prime factorization?

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