What is a prime factor? In number theory, a prime factor (prime factor or prime factor) refers to a prime number that can divide a given positive integer

What is a prime factor , Prime factor （ Prime factor or prime factor ） In number theory, it refers to the prime number that can divide a given positive integer

Prime factor （ Prime factor or prime factor ） In number theory, it refers to the prime number that can divide a given positive integer .

except 1 outside , Two positive integers without other common prime factors are called coprime .

because 1 No qualitative factor ,1 With any positive integer （ Include 1 In itself ） It's all coprime .

Factorization of positive integers can express positive integers as a series of prime factors , Qualitative factors, such as repetition, can be expressed exponentially .

According to the basic theorem of arithmetic , Any positive integer has a unique prime factorization . A positive integer with only one prime factor is a prime number .
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Each composite number can be written as several prime numbers （ It can also be called prime number ） The form of multiplication , These prime numbers are called the prime factor of the composite number . If a prime number is a factor of a number , So let's say that this prime number is the prime factor of this number ; And this factor must be a prime number .

• 1 No qualitative factor .
• 5 Only 1 A quality factor ,5 In itself .（5 Prime number .）
• 6 The prime factor is 2 and 3.(6 = 2 × 3)
• 2、4、8、16 Wait only 1 A quality factor ：2（2 Prime number ,4 = 2,8 = 2, And so on .）
• 10 Yes 2 A quality factor ：2 and 5.(10 = 2 × 5)

Put a formula in 12=2×2×3 Formal representation of , It's called the decomposition prime factor .16=2×2×2×2,2 Namely 16 Prime factor of , Write a composite number in the form of multiplication of several prime numbers , This is also the decomposition prime factor .