Prime numbers calculator checking, prime factorization of composite integers numbers into prime factors, online

Prime or composite number? Integers numbers factorization online calculator

Latest factorized integers numbers

36 = 22 * 32Feb-07 07:32
54 = 2 * 33Feb-07 07:32
2 222 = 2 * 11 * 101Feb-07 07:31
167 is a prime numberFeb-07 07:30
54 = 2 * 33Feb-07 07:17
129 = 3 * 43Feb-07 07:17
7 is a prime numberFeb-07 07:13
10 = 2 * 5Feb-07 07:13
7 is a prime numberFeb-07 07:09
10 = 2 * 5Feb-07 07:09
10 = 2 * 5Feb-07 07:06
7 is a prime numberFeb-07 07:06
156 = 22 * 3 * 13Feb-07 07:04

Tutoring: prime numbers definition

Integers that are only dividing by themselves and by number 1 are called prime numbers.

A composite number is a positive integer that has at least one positive divisor other than 1 and the number itself. A composite number is also any positive integer greater than 1 that is not a prime number.

  • 2 is divisible only by 2 and 1, so 2 is a prime number
  • 3 is divisible only by 3 and 1, so 3 is a prime number
  • 5 is divisible only by 5 and 1, so 5 is a prime number
  • 13 is divisible only by 13 and 1, so 13 is a prime number

1 is not considered prime, so the first prime number is 2 (prime numbers list is starting with the number 2)

Examples of prime numbers, up to 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

EUCLID (300 B.C.) proved that the set of prime numbers is infinite, with no largest prime number.