Prime numbers chart
Every prime number up to 200. A prime is a whole number greater than 1 whose only divisors are 1 and itself. Primes are the building blocks of arithmetic, since every other whole number factors into a unique product of primes.
Prime numbers from 1 to 200
| Range | Primes |
|---|---|
| 1 to 50 | 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 |
| 51 to 100 | 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 |
| 101 to 150 | 101, 103, 107, 109, 113, 127, 131, 137, 139, 149 |
| 151 to 200 | 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 |
There are 46 primes below 200. The number 1 is not prime, because a prime must have exactly two distinct divisors, and 1 has only one. Two is the only even prime, since every other even number is divisible by 2. Primes thin out as numbers grow but never run out.
Working with factors?
See the Multiplication Table, or use the math calculators for factoring and prime checks.
What makes a number prime
A prime number greater than 1 has exactly two factors: 1 and the number itself. Seven is prime because nothing else divides it evenly. A number with more factors, like 12 (which is 2 times 2 times 3), is called composite. Every composite number breaks down into a unique set of primes, the fundamental theorem of arithmetic.
Patterns and curiosities
After 2 and 5, every prime ends in 1, 3, 7, or 9. Twin primes are pairs two apart, like 11 and 13 or 17 and 19. Primes become rarer among larger numbers but, as Euclid proved over two thousand years ago, they never stop: there is no largest prime.
FAQ
Is 1 a prime number?
No. A prime must have exactly two distinct divisors, 1 and itself. The number 1 has only one divisor, so it is not prime.
What is the only even prime?
Two. Every other even number is divisible by 2, giving it more than two factors, so 2 is the sole even prime.
How many primes are there under 100?
There are 25 prime numbers below 100, starting 2, 3, 5, 7 and ending 89, 97.