2 x 2 x 2 x 3 x 5 x 5 = 600
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600 = 23 x 31 x 52
To find the prime factorization of the fraction 540/600, first simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 60. This simplifies the fraction to 9/10. The prime factorization of 9 is 3^2, and the prime factorization of 10 is 2 * 5. Therefore, the prime factorization of the fraction 540/600 is 3^2/2 * 5.
The fundamental theorem of arithmetic says any integer can be factored into a unique product of primes. The is the prime factored form.
It is: 2^3 times 3 times 5^2 = 600
32 x 19