MathematicsAll prime numbers between 1 and 10 are ____,[[2]],[[3]] and ____.

All prime numbers between 1 and 10 are ____,[[2]],[[3]] and ____.


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    Solution:

    Concept- All prime numbers between 1 and 10 are 2, 3, 5 and 7. First, remember the definitions of composite numbers, prime  and non-prime. Then remember all the numbers that fall into these categories. Then find  the numbers from 1 to 10 that fall into the  prime number category.
    Here you need to write all the prime numbers from 1 to 10.  Before continuing this question, let's take a look at the meaning of prime  and composite numbers. Prime: A prime can be defined as a positive integer with only two factors,  1 and the integer itself. Consider an example: the factor of 6 is 1, 2, 3,  6. You can see that there is a total there.
    There are four factors. However, the factor of 5 is only 1 and 5. So we can say that 5 is a prime number, but 6 is not. It can be summarized that a prime number is a number divisible by 1 and the number itself. Examples of prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and so on. Composite number: A composite number can be defined as a positive integer with a factor of 1 and other than  that number.
    Composite numbers are  the exact opposite of prime numbers. We can conclude that all non-prime numbers are compound. The minimum composite number is 4. Examples of composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18 and so on. Also, since 1 is a prime or composite number, it is not considered a prime or composite number. The only factor is that it has it all.
    As we have already seen, prime numbers have only two divisors, one and itself. Composite numbers have two or more divisors. 1 does not obey any of these rules because it has only one element. Now let's write all the prime numbers from 1 to 10. First, consider all the numbers from 1 to 10, that is, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. We already know that  1 is not considered a prime or compound here.
    Currently, the numbers 2 and 3 are divisible only by 1 and itself, so both  are prime numbers.  The number 4 has coefficients 1, 2, and 4. This means that there are 3 or more coefficients. That is, the composite number.  The number 5 is a prime number because it is only divisible  by 1 and itself.
    The number 6 factors are  1, 2, 3, and 6. This means that there are three or more  factors. That is, the composite number.  The number 7 is a prime number because it is only divisible  by 1 and itself. The number 8 factors are   1, 2, 4, and 8. This means that there are three or more  factors. That is, the composite number.  The number 9 factors are  1, 3, and 9. This means that there are three or more  factors. That is, the composite number.  The number 10 factors are   1, 2, 5, and 10.
    This means that there are three or more  factors. That is, the composite number.
    Hence, you get a total of four prime numbers from 1 to 10, that is, 2, 3, 5, and 7.
     
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