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512 = 29

512 x 512 = 262144 = 218

Q: What is the square of 512 in prime factorization and in full method?

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No, 22, 54, 8 and 112 aren't prime numbers. The full prime factorization for 3193344 is 29 x 34 x 7 x 11.

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To determine if 1021 is prime or composite, we can check if it has any factors other than 1 and itself. However, doing a full factorization of 1021 would be time-consuming. So, we can use other methods like checking if it is divisible by any primes less than its square root. After checking, we find that 1021 is a prime number.

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10 x 24 = 240, but it's considered a factor string, not a full factorization.

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Full tuck- in method Duvet method Open side method

Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 2 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72

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