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What are prime numbers, composite numbers, coprime numbers, prime numbers
Prime numbers should be prime factors
The concepts we discussed are all natural numbers, and there are no fractions, decimals, negative numbers and zeros
Factor: for example, a * b = C, then both a and B are factors of C
Prime number: there is no other factor except that it can be divided by 1 and itself. Then this number is prime number, also called prime number. For example, 2,3,5,7,11,13 and so on. 1 is neither prime nor composite number, so it is stipulated
Composite number: apart from being divisible by 1 and itself, it can also be divisible by other factors. Such numbers are composite numbers, such as 4 (2 * 2) 6 (2 * 3) 8 (2 * 4) 9 (3 * 3), etc
Prime factor: the factor of a composite number is a prime number, and this factor is the prime factor. For example, 8 has two factors, 2 and 4, and 2 is the prime factor. 4 is a composite number and can be divided into 2 * 2, so it is not a prime factor
Coprime number: two natural numbers that do not have the same factor. That is to say, two numbers (not necessarily prime numbers, or composite numbers) do not have the same factor (except 1). For example, 8 and 9 have two factors, 2 and 4. The factor of 9 is 3, and there is no same factor, so coprime. 6 and 9 are not, because they have the same factor 3
RELATED INFORMATIONS
- 1. The concept of factor and multiple There are three colors of lights in a circle. The red lights stop for one second, the yellow lights stop for two seconds, the green lights stop for four seconds, and all lights are on at the same time at 6 pm. When do the three lights come on again
- 2. What are factors and multiples
- 3. What is the relationship between factors and multiples
- 4. What's the difference between prime, prime, divisor, composite and factor?
- 5. What is the meaning of divisor, multiple, prime and composite?
- 6. What do prime number, divisor, prime number, composite number mean? Can you give me some examples?
- 7. In a factor of 75, the prime has______ The total number is______ ．
- 8. If a natural number to the third power has exactly 100 divisors, then the natural number itself has at least 100 divisors______ A divisor
- 9. Judgment: 1. A non-zero natural number is either prime or composite () 2. The multiple of a number must be greater than its divisor () 3. The product of two prime numbers must be a composite number () 4. A cuboid (excluding a cube) has at most eight equal edges () 5. Even numbers greater than 2 are composite numbers（
- 10. The smallest three digits of the smallest natural number, prime number and composite number are
- 11. In 5.9.11.14, () and () are prime numbers and coprime numbers; () and () are composite numbers and coprime numbers
- 12. "1 is neither a prime nor a composite number" can it form a coprime number with other natural numbers? Please comment on it. Why? According to the definition of Coprime number, only two natural numbers of "1" are coprime numbers. So the common divisor of "1, 3" is only "1", so 1 and 3 should be coprime numbers.
- 13. Two prime numbers must be coprime numbers, and two composite numbers must not be coprime numbers. Is that right or wrong?
- 14. Two prime numbers must be coprime numbers, two composite numbers cannot be coprime numbers______ ．
- 15. In 1 to 10, the numbers that are neither prime nor composite numbers are (). () and (), even if composite numbers are coprime numbers; () and () are both prime and composite numbers Coprime numbers; () and () are prime numbers and composite numbers. They are also coprime numbers
- 16. What is the greatest common factor of the minimum prime number and the maximum composite number The greatest common factor of the least prime and the greatest composite is () and the smallest common multiple is () The correct question is: If a and B are natural numbers and a △ B = 8, then the greatest common factor is () and the smallest common multiple is ()
- 17. The greatest common factor of the smallest prime number and the smallest composite number is ()
- 18. (1) What are the characteristics of common multiple and least common multiple? (2) what are the characteristics of prime number? (3) what are the characteristics of composite number?
- 19. Odd number, even number, prime number, composite number, prime number, common multiple, what is the largest and the smallest common factor? I said, what are the largest and smallest of the above numbers?
- 20. The greatest common factor of two numbers is 15, and the least common multiple is 90. These two numbers may be () and several (), or () and ()