Q:
# What Are the 25 Prime Numbers Between 1 and 100?

**The first 25 prime numbers are two, three, five, seven, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.** A prime number is a positive value only divisible by itself and the number one. For instance, the number 11 has two factors: one and 11.

Greek mathematicians studied prime numbers as far back as 300 BCE when Euclid published a series of theorems in his treatise "Elements." Euclid's work demonstrated that all non-prime numbers, or composites, are made up of a unique combination of prime numbers. In other words, a series of prime numbers can be multiplied to produce each composite number. For example, 2 x 3 = 6, and 2 x 2 x 3 = 12.

Mathematician Eratosthenes designed a rudimentary algorithm in 200 BCE that used a grid system to quickly sort out divisible numbers. The series of prime numbers is considered infinite, and as of May 2013, the largest one discovered contained 17,425,170 digits.

In modern society, prime numbers are used for security encryption, especially in banking and Internet commerce. Large composite numbers are difficult to break down to individual factors, creating a time-consuming roadblock for codebreakers.

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Q:
## What Are the Prime Factors of 14?

A: The prime factors of 14 are two and seven. The prime factors of a number are all the factors of a number that are also prime numbers. Full Answer >Filed Under: -
Q:
## How Do You Find Prime Numbers?

A: To find prime numbers, use factorization to break down numbers and test whether they are prime or not. Numbers that are prime only have themselves and 1 as... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 72?

A: The prime factorization of 72 is 23x 32, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are al... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 120?

A: The prime factorization of 120 is 2^3 x 3 x 5. Prime factorization requires finding the prime numbers that multiply together to yield a particular product.... Full Answer >Filed Under: