Are all the factors of a prime number prime?

Wrong, there are two factors of a prime number, one is the prime number itself, and the other is 1, and 1 is not a prime number, nor is it a composite number.

Hope, thank you.

False: The factor of a prime number is 1 and it itself is a prime number, but 1 is not a prime number.

A number (also known as a prime number) is a divisor of all integers larger than 1 except 1 and itself, and this integer is called a prime number or a prime number. It can also be said that prime numbers have only 1 and two divisors of itself. And because 1 is not a prime number, this statement is incorrect.

Since 1 is the factor of any non-0 natural number, and 1 is neither prime nor composite, the factor of a prime number must also be a prime number

Because 1 is a factor of any non-0 natural number, 1 is neither prime nor composite. So the factor of a prime number must also be a prime number. out of the way.

What are Prime Numbers? That is, in all integers greater than 1, there is no other divisor except 1 and itself. Well, the factor of a prime number.

Since 1 is the factor of any non-0 natural number, and 1 is neither prime nor composite, it is wrong to say that the factors of a prime number are prime numbers, so the answer is:

Mistake. Of all integers greater than 1, there is no other factor than 1 and itself, and such integers are called prime numbers. The factor of a prime number is.

From the analysis, it is concluded that 1 is neither prime nor composite, so it is wrong for the divisor of a prime number to be prime so the answer is:

A prime number (also known as a prime number) is a divisor that is no longer a divisor in all integers larger than 1 except 1 and itself, and this kind of integer is called a prime number or prime number.

Prime number. The factors must all be prime, and it is obviously wrong to change the hail rush.

First, distinguish what an approximate is.

What is Factor:

Divisors can only be said to be within the range of integers, whereas factors are not limited to the range of integers.

Divisors must be divisible for they to exist, whereas factors are derived from the point of view of multiplication. That is, if the product of the numbers A and B is the number C, then both A and B are factors of C.

So there are infinitely many non-integer factors of a prime number, but non-integers are not prime numbers, although this prime number has its own factor, but it is only one.

In modern mathematics, a natural number greater than 1.

In addition to 1 and itself, a number that is not divisible by other natural numbers is called a prime number, also known as a prime number.

An integer greater than 1 is called a composite number if there is a divisor other than 1 and itself.

In modern mathematics, a natural number greater than 1, except for 1 and its self-indulgent, cannot be divisible by other natural numbers is called a prime number, and it is also called a prime number; An integer greater than 1 is called a composite number if there is a divisor other than 1 and itself.

Prime factor. Each composite number can be written as several prime numbers.

In the form of multiplication, these prime numbers are called the prime factors of this composite number.

If a prime number is the divisor of a number, then the prime number is said to be the prime factor of the number.

Prime number. What are Prime Numbers? That is, in all integers greater than 1, there is no other divisor except 1 and itself, and this integer is called a prime number, and a prime number is also called a prime number.

This final rule is only a literal explanation. Can there be an algebraic formula.

When the number expressed in letters is specified as any specified value, the value of the algebraic formula is prime?

The distribution of prime numbers is irregular and often inexplicable. For example, are prime numbers, but 301 (7*43) and 901 (17*53) are composite numbers.

Someone has done such a check: 1 2 + 1 + 41 = 43, 2 2 + 2 + 41 = 47, 3 2 + 3 + 41 = 53 ......So we can have the formula: if a positive number is n, then the value of n 2+n+41 must be a prime number.

This equation holds until n=39. But when n=40, the formula is not true, because 40 2 + 40 + 41 = 1681 = 41*41.

Férmat, known as "the greatest French mathematician of the 17th century", also studied the properties of prime numbers. He found that if fn=2 (2 n), then when n is equal to , fn is given separately, which are all prime numbers, and since f5 is too large (f5=4292967297), he directly guesses without further testing: for all natural numbers.

fn are all prime numbers. However, it was on F5 that went wrong! 67 years after Fermat's death, the 25-year-old Swiss mathematician Euler.

Proof that f5=4292967297=641*6700417 is not a prime number, but a composite number.

What's even more interesting is that in the future, mathematicians never found any fn value that was prime, all of them were composite numbers. At present, due to the large square opening, there is very little that can be proven. Now mathematicians have obtained the maximum value of fn as:

n=1495。This is a very astronomical number, with 10 10,584 digits, and although it is very large, it is not a prime number. Prime numbers and Fermat made a big joke!

In the 17th century, there was also a French mathematician named Mason, who once made a conjecture: 2 p-1 algebraic formula, when p is a prime number, 2 p-1 is a prime number. He calculated:

When p, the values of the resulting algebraic equations are all prime, and later, Euler proved that 2 p-1 is prime when p=31.

p 2, 3, 5, 7, mp are all prime, but m11 2047 23 89 is not prime.

A prime number certainly has a prime factor, which is itself.

Hope, thank you.

Prime numbers should have prime factors, because mathematics is all sets of numbers, and there are also strange answers, so it is said that prime numbers have prime factors.

Prime numbers also have prime factors, because there is such a rule in mathematics, you can look it up.

Prime factors (prime factors or prime factors) in number theory refer to prime numbers that are divisible by a given positive integer. Two positive integers other than 1 that have no other common prime factor are called coprime. Because 1 has no quality factor, 1 is coprime with any positive integer (including 1 itself).

The factorization of positive integers can be expressed as a series of prime factors multiplied, and the quality factors such as repetitions can be expressed exponentially. According to the fundamental theorem of arithmetic, any positive integer has a unique formula for the decomposition of the quality factor[1]. Only a positive integer of a prime factor is a prime number.

Each composite number can be written as the multiplication of several prime numbers (also known as prime numbers)[2], and these prime numbers are called the prime factors of the composite number. If a prime number is a factor of a number, then it is said that this prime number is a prime factor of this number; And this factor must be a prime number.

A prime number has only two factors, i.e., 1 and itself. A natural number that is greater than 1 and cannot be divisible by other natural numbers except 1 and itself is called a prime number, otherwise it is called a composite number. A composite number has at least three factors.

Prime numbers have a number of unique properties:

1. There are only two divisors of prime numbers p: 1 and p.

2. The fundamental theorem of elementary mathematics: any natural number greater than 1 is either a rotten number in itself, or it can be decomposed into the product of several prime numbers, and this decomposition is unique.

3. The number of prime numbers is unlimited.

4. If n is a positive integer greater than or equal to 2, between n and n!There is at least one prime number between them.

5. Among all prime numbers greater than 10, the single digit is only 1, 3, 7, and 9.

Prime numbers are also known as prime numbers. A natural number greater than 1 that is not divisible by other natural numbers except 1 and itself is called a prime number. The smallest prime number is 2, which is also the only even prime number.

The factor means that the quotient of the integer a divided by the integer b(b≠0) is exactly an integer and there is no remainder, so we say that b is the factor of a.

Prime numbers: There are no factors other than 1 and themselves.

Factor: An integer is divisible by another integer, and the latter is the factor of the former.

The number of qualitative infiltration filial piety refers to a number.

Prime factors have a dual identity: the first must be a prime number; The second must be the factor of another number, which is said for another number.

The prime factor crack must be a prime number, and a prime number is not necessarily a prime factor.

What is a prime number, a factor?

Good number of quality deficiency: In layman's terms, it is a number that cannot be divisible by 2, which is the number of quality and lead.

Factor: Dividing an integer by another integer, the quotient obtained is still an integer, and another integer is a factor of an integer, for example, 8 divided by 4 is equal to 2, and 4 is a factor of 8.