To factor 900 into the product of primes, we start by dividing by the smallest prime numbers. We find that 900 = 9 × 100, and then factor those: 9 = 3 × 3 and 100 = 10 × 10 = 2 × 5 × 2 × 5. Combining these, we get 900 = 3² × 2² × 5². Thus, the prime factorization of 900 is (2^2 \times 3^2 \times 5^2).
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