2 x 2 x 3 x 3 x 3 x 5
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22 x 33 x 5 = 540
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.
Oh, dude, that's like 540. You've got your 2s, your 3s, and your 5 all multiplied together. It's like a prime factorization party up in here.
540 = 2 x 2 x 3 x 3 x 3 x 5
The GCF of 240, 360, and 540 isThe prime factorization of 240 is 2*2*2*2*3*5The prime factorization of 360 is 2*2*2*3*3*5The prime factorization of 540 is 2*2*3*3*3*5The GCF is 2*2*3*5 = 60To check your work:240 = 60 * 4360 = 60 * 6540 = 60 * 9Since 4, 6, and 9 have a GCF of 1, we know the answer is correct.