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To express 250 as a product of its prime factors, we begin by dividing it by the smallest prime number, which is 2. Since 250 is even, we can divide: 250 ÷ 2 = 125. Next, we move on to the next smallest prime number, which is 3, but 125 is not divisible by 3. Let's try the next prime number, 5: 125 ÷ 5 = 25. We can factor 25 further: 25 ÷ 5 = 5. Finally, we can factor 5, which is already a prime number. Thus, the complete prime factorization of 250 can be expressed as: 250 = 2 × 5 × 5 × 5, or in exponential form, 250 = 2 × 5^3. Now you have it—250 broken down into its prime factors!
