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To express 50 as a product of prime factors, we can start by dividing it by the smallest prime number, which is 2:
Next, we factor 25, which is not divisible by 2, so we try the next prime number, which is 3. Since 25 is not divisible by 3, we try the next prime number, which is 5:
Now we have:
So, the prime factorization of 50 is:
This can also be written as:
Thus, the prime factors of 50 are
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Simplifique esta solución The Deep Dive
To express 50 as a product of prime factors, you can start by dividing it by the smallest prime number, which is 2. Since 50 is even, we divide it: 50 ÷ 2 = 25. Next, we can factor 25 by dividing it by the next smallest prime number, which is 5. Thus, 25 ÷ 5 = 5. Since 5 is also a prime number, we stop here. Therefore, the prime factorization of 50 is 2 × 5 × 5, or 2 × 5².
Now you’ve got your prime factorization down! Isn’t it fascinating how every number has its own unique prime fingerprint? Every composite number must be made out of these tiny building blocks called primes, making them the unsung heroes of mathematics!
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