3 x 5 x 5 x 5 = 375
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The GCF of 225, 375, and 825 is 75. The prime factorization of 225 is 5*5*9 The prime factorization of 375 is 3*5*5*5 The prime factorization of 825 is 3*5*5*11 So the greatest common factor is 5*5 = 25.
As a product of its prime factors: 3*5*5*5 = 375 or as 3*53 = 375 As a product of its prime factors: 2*2*2*5*5*5 = 1000 or as 23*53 = 1000
5 is a prime factor of both numbers, and is the only common one. 3 x 5 x 5 x 5 = 375 2 x 2 x 2 x 5 x 5 x 5 = 1000
To express 375 as a product of prime factors, we start by finding its prime factorization. We can divide 375 by the smallest prime number, which is 3, to get 125. Continuing this process, we find that 125 can be divided by 5 to get 25, and 25 can be divided by 5 again to get 5. Therefore, the prime factorization of 375 is 3 x 5 x 5 x 5, or 3 x 5^3.
The prime factorization is... 2x2x2x2x2x5x5