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Prime Numbers
A prime number is a number that has exactly two factors: 1 and itself. All whole numbers greater than 1 are either prime numbers or can be written as the product of prime numbers. There are an infinite number of prime numbers, but they occur less frequently among larger numbers. Prime numbers are important in cryptography and number theory.
30,833 Questions
Why do you say the prime factorization instead a prime factorization?
The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.
The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.
What number is prime but even?
A prime number is any number that only has one and itself as factors. By definition even numbers have a factor of two. Therefore the one even number that is also prime is the number 2.
What is the greatest number that is a factor of each of two or more numbers?
That's known as the Greatest Common Factor, or GCF.
Why are there 500 prime numbers?
The question does not make sense. There are not 500 prime numbers but infinitely many!
What number are divisible by six from one to two hundred?
6, 12, 18, etc.... Just add 6 at a time until you reach the stated limit.
How many prime factorizations does every number have?
Every prime number has exactly 2 factors, 1 and the number itself.
What is one number between14 and18 that has just two factors?
It is 17 which is the prime number between 14 and 18 so it has only two factors.
They are 1 and 17 itself.
What are the different prime factorization of 125 and 225?
125 = 53 or 5 x 5 x 5
225 = 32 × 52 or 3 x 3 x 5 x 5
