# Mathematical Operations With Prime Numbers

## Latest factored numbers (latest prime factorizations)

 4,052,073 = ? Dec 06 20:35 UTC (GMT) 475,367 = ? Dec 06 20:35 UTC (GMT) 54,729 = ? Dec 06 20:35 UTC (GMT) see more... integer numbers factored, broken down to prime factors

## The latest calculated greatest (highest) common factors (divisors), gcf (hcf, gcd)

 gcf, hcf, gcd (2,101; 6,031) = ? Dec 06 20:35 UTC (GMT) gcf, hcf, gcd (60; 1,000) = ? Dec 06 20:35 UTC (GMT) gcf, hcf, gcd (853; 9,255) = ? Dec 06 20:35 UTC (GMT) gcf, hcf, gcd, see more...

## The latest calculated values of the "least common multiple", LCM

 lcm (465; 4,580) = ? Dec 06 20:35 UTC (GMT) lcm (60; 84) = ? Dec 06 20:35 UTC (GMT) lcm (5,728; 2) = ? Dec 06 20:35 UTC (GMT) least common multiple, see more...

## Latest fractions reduced (simplified) to the lowest terms

 How to reduce (simplify) fraction: 900/1,142? Dec 06 20:35 UTC (GMT) How to reduce (simplify) fraction: 154/77,262? Dec 06 20:35 UTC (GMT) How to reduce (simplify) fraction: 111/7? Dec 06 20:35 UTC (GMT) reduced fractions, see more...

## The latest numbers that were checked to see whether they are divisible or not

 Is number 1,488 divisible by number 424? Dec 06 20:35 UTC (GMT) Is number 1,172 divisible by number 164? Dec 06 20:35 UTC (GMT) Is number 254,799 divisible by number 40,950? Dec 06 20:35 UTC (GMT) integer numbers divisibility, see more...

## Latest calculated factors (divisors)

 common factors (divisors) (9,624,938,400; 12,249,921,600) = ? Dec 06 20:35 UTC (GMT) common factors (divisors) (20; 574) = ? Dec 06 20:35 UTC (GMT) factors (61,014,774) = ? Dec 06 20:35 UTC (GMT) common factors (divisors), see more...

## Coprime numbers or not (relatively prime, prime to each other or not)? Latest operations

 coprime numbers (relatively prime) (6,750; 6,486)? Dec 06 20:34 UTC (GMT) coprime numbers (relatively prime) (1,076; 3,194)? Dec 06 20:34 UTC (GMT) coprime numbers (relatively prime) (20; 9,476)? Dec 06 20:34 UTC (GMT) coprime numbers (relatively prime), see more...

## Latest numbers tested on parity: even or odd?

 parity (5,349,716) = even or odd number? Dec 06 20:35 UTC (GMT) parity (830,929) = even or odd number? Dec 06 20:34 UTC (GMT) parity (778) = even or odd number? Dec 06 20:34 UTC (GMT) parity, see more...

## Prime numbers definition. Composite 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 larger 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)

##### The fundamental theorem of arithmetic says that every integer larger than 1 can be written as a product of one or more prime numbers in a way that is unique, except for the order of the prime factors. Prime numbers are thus the basic building blocks of all numbers. If 1 were admitted as a prime, number 15 for example could be factored as 3 × 5 and 1 × 3 × 5; these two representations would be considered different prime factorizations of 15 (prime factorization into prime factors), so the statement of the theorem would have to be modified.
• 4 is divisible by 4, 2 and 1, so 4 is not a prime number, it's a composite number; 4 = 22
• 6 is divisible by 6, 3, 2 and 1, so 6 is not a prime number, it's a composite number; 6 = 2 × 3
• 8 is divisible by 8, 4, 2 and 1, so 8 is not a prime number, it's a composite number; 8 = 23
• 9 is divisible by 9, 3, and 1, so 9 is not a prime number, it's a composite number; 9 = 32

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