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Prime numbers are integers greater than 1 that have no positive divisors other than 1 and themselves. Prime factors, on the other hand, are prime numbers that divide a given integer without leaving a remainder. In other words, prime factors are the prime numbers that, when multiplied together, result in the original integer. For example, the number 12 has prime factors of 2 and 3, as 2 * 2 * 3 = 12.
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TaigaA Prime number is any number which has only 2 factors. That is, a number that can divide only by itself and 1. For example, 29 is a prime number, as it cannot divide evenly by any number other than itself and 1. A factor of a number is any number which that original number can divide by evenly. For instance, 24 can divide by 8, so 8 is a factor of 24. However, 8 isn't prime so it isn't a prime factor of 24. The prime factors of 24 would be 2, 2, 2 and 3.
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Find the difference between the first two prime numbers?
2 and 3 are the first two prime numbers. The difference between them is 1
What is the greatest common factor of 296 and 375?
The GCF of 296 and 375 is 1. The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 296 are 2, 2, 2, and 37. The prime factors of 375 are 3, 5, 5, and 5. They have no prime factors in common, so they are relatively prime, which means their greatest common factor is 1. Another way to approach this is to look at the difference between 296 and 375, which is 79. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 79 is a prime number, the greatest common factor must be either 1 or 79. Since the numbers are not divisible by 79, the greatest common factor is 1.
What is the difference between a factor string and prime factorization?
A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.
What is a common prime factor?
All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.
Which of the prime numbers 2 3 4 5 6 and 7 cannot be the difference between two consecutive prime numbers greater than 2?
Any prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. So, the difference between two prime (and odd) numbers could be 2, 4, or 6, of the numbers given. The difference could not be 3, 5, or 7.
