Can someone help me with prime and composite numbers?

Prime numbers are counting numbers that can be divided evenly bt only two numbers:1 and themselves. A prime number can also be described as a counting number with exactly two factors, 1 and itself. So, 1 because it has only one factor ( itself), is not a prime number.Prime numbers to 100:2,3,5,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97

Composite numbers are all counting numbers that are not prime numbers. In other words , composite numbers are numbers that have more than two factors. Again the number 1, because it has only one factor (itself), is not a composite number.

ok true it think

* The Fundamental Theorem of Arithmetic states that every positive integer/number greater than 1 is either a prime or a composite, i.e. can be expressed as a unique product of primes and their exponents, in only one way.

* The number 1 is not considered a prime number, being more traditionally referred to as the unit.
Aristotle regarded the one as not being a number but rather the elemental measure of all numbers.
Euclid stated that a unit is that property of each and every thing in the universe that enables it to be called one, while a number can be considered a multitude of units.

* A prime number is a positive number "p", other than 1, that has only two positive divisors/factors, 1 and "p".
(The strict interpretation of this definition aids in supporting the statement that the number one is not a prime number as it literally has only one divisor/factor whereas a prime has two factors.)

Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, etc., are all primes, being evenly divisible by only 1 and the number itself.

* A composite number is one that has 3 or more factors/divisors.

* A composite number is expressable as a unique product of prime numbers and their exponents, in only one way.
Examples: 210 = 2x3x5x7; 495 = 3^2x5x11.

* A prime factor of a number is a divisor/factor of the number which also happens to be a prime number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36 but only 2 and 3 are prime factors.

* Any number that can be expressed as the product of two or more primes and their powers, i.e., ab, abc, ab^2c, ab^2c^3d^2, etc., where a, b, c and d are prime numbers, is composite.

* Any number greater than 1 that is not a prime number must be a composite number, and is the result of multiplying primes together.
Examples: 4, 6, 12, 24, 72, etc., are composite, each being divisible by lower prime numbers.

* Every number n > 1 is divisible by some prime.

* With the exception of the number 2, all prime numbers are odd numbers.
The number 2 is the only even prime, thereby making it the oddest prime.

* Two integers, a and b, are said to be relatively prime if their greatest common divisor is 1. Example: 7 and 12 are relatively prime as their g.c.d. is 1.

* Primes differing by 2 are called twin primes. Examples: 3-5, 5-7, 17-19, 1,000,000,009,649-1,000,000,009,651.

* There is only one set of triple primes - 3, 5, and 7.

How to Find Prime Numbers

The Sieve of Eratosthenes

Lets find the primes between 1 and 100.
Write down the sequence of numbers from 1 to 100.
Cross out the 1.
Beginning with the 2, strike out every second number beyond the 2, i.e., 4, 6, 8, 10, etc.
Starting from the first remaining number, 3, cross out every third number beyond the 3, i.e., 3, 6, 9, 12, etc.
Starting from the first remaining number, 5, cross out every fifth number beyond the 5, i.e., 5, 10, 15, 20, etc.
Continue with the 7, crossing out every seventh number beyond the 7, i.e., 7, 14, 21, 28, etc.
Continue the process until you have reached N or 100.
The numbers remaining are the primes between 1 and 100, namely 2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. By definition, all the others are composite numbers.

what is the largest number tou will have to check to find the prime number of 100

  1. 👍 2
  2. 👎 0
  3. 👁 938
  1. is 89 prime or composite

    1. 👍 4
    2. 👎 1
  2. 89 is a prime number
    Good luck

    1. 👍 3
    2. 👎 0
  3. Hey can someone give all of the answers I need to check

    1. 👍 2
    2. 👎 1
  4. same

    1. 👍 1
    2. 👎 0
  5. Here are the right answers guys
    thank me later;)

    1. 👍 8
    2. 👎 1
  6. i got a 100

    1. 👍 2
    2. 👎 0
  7. Thx lil baby I got a 100

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Precalc

    To which set(s) of numbers does the number sqrt -16 belong? Select all that apply. real numbers complex numbers*** rational numbers imaginary numbers*** irrational numbers I can only pick two, and that's what I think it is. Please

  2. MATH!

    The sum of two prime numbers is the prime number 89,563. Find the smaller of the two addends. I attempted the problem but I'm not sure if it is right. 89,561 is a prime number and so is 2. So is the answer 2?

  3. math

    Three numbers between 70 and 80 are prime numbers.what numbers are they? Explain how you know they are prime numbers.

  4. Math

    Greta said that the product of two prime numbers must also be a prime number. Joan disagreed. Who is correct?

  1. math

    my number is a multiple of 5, but doesnt end in 5, the prime factorization of my number is a string three numbers, two of the numbers in the prime factorization are the same, my number is bigger than the seventh square number

  2. math

    what is my number? Clue 1 My number is a multiple of 5,but it does not end in 5. Clue 2 The prime factorization of my number is a string of three numbers. Clue 3 Two of the numbers in the prime factorizations are the same. Clue 4

  3. Math

    The sum of 3 consecutive odd natural numbers is 69. Find the prime number out of these numbers.

  4. binomial probability

    Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers? The answer is NOT 5/72

  1. Math

    10. To find LCD by prime numbers, you should A. continue division until no prime number will divide into at least three numbers. B. take numerators and arrange in a row. C. divide numerators by the highest prime number. D. first

  2. math

    True or false. If two numbers are relatively prime,both numbers are prime. Please help ASAP!!! :( Give an example!!! :)

  3. Math

    A positive integer n is defined as a "prime interlude" if n-1 and n+1 are both prime numbers. Which of the following is not a "prime interlude?" a.4 b.18 c.30 d.72 e.90 ( First of all; What is a "prime interlude??") I don't

  4. Math

    Greta says the product of two prime numbers must also be prime. Joan disagreed. Who is correct?

You can view more similar questions or ask a new question.