A Prime number has only two factors which are itself and one.
The first 10 prime numbers are: 2 3 5 7 11 13 17 19 23 and 29
2 is the only even prime number
No, says the number 9.
Julia is incorrect. 2 is an even prime number and 9 is an odd composite number.
A great statement to make here would be one about prime factors, and it is the Fundamental Theorem of Arithmetic."Every positive whole number can be written as a unique product of primes."This sentence says that if a number is not a prime, it is the result of multiplying primes together.It says that numbers have only one way of being broken up into prime factors.It says that the number 1 is not a prime number, but is instead called an empty product.It says that Mathematics works.
Eratosthenes, It says it is Eratosthenes.
This is a simple, yet accurate definition of a prime number: "an integer that has no integral factors but itself and 1." The number 2 only has two integral factors: 1 & 2. Since the definition says it must have no factors besides 1 and itself (2), the number 2 must be prime.
Who says it is? 21 is a composite number!
No 429 is not prime. A prime number is a number where the only multiples of it are "1" and the number itself. 429 / 3 = 143. So 3 x 143 are also factors.Prime numbers do not end in 0,2,4,5,6,8; excluding 2 (Two), 22 is not prime but 2 is because 1 x 2 = 2. And remember the definition says a prime number is a number that can only be multiplied by 1 and itself.
A famous theorem says that each number has a unique prime factorization.You can begin by expanding the number to known products, say 10 * 19 (or 5*38 or ...)You just keep going until only prime numbers remain. Here, 19 is prime but 10 is composite so we reduce it further to 2*5. Both of these are prime numbers, so we are done.The resulting pf is 190=2*5*19 (only powers of prime numbers on the right)It is: 2*5*19 = 190
11
Relatively prime numbers only have 1 as a common divisor. 38 and 40 have 1 and 2.
It important that 1 is not prime because a quote says: "A prime number is a natural number that has exactly two different natural number factors. and so i say 1 is not a prime because a prime number has 2 factor 1 and it self and 1 dose not.
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