# Is 33 a prime number?

Here is the answer to questions like: Is 33 a prime number? or is 33 a prime or a composite number?

### Prime Numbers Calculator

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### Number Analysis:

The prime factorization of 33 = 3•11

The number 33 is not a prime number because it is possible to factorize it. In other words, 33 can be divided by 1, by itself and at least by 3 y 11. This is a so called 'composite number'.

### Prime numbers before 33 chart

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

## What is a prime number?

### Definition of prime 1

An integer greater than one is called a prime number if its only positive divisors (factors) are one and itself. For example, the only divisors of 11 are 1 and 11, so 11 is a prime number, while the number 51 has divisors 3, 17 and 51 itself (51 = 3•17), making 51 not a prime number.

### Definition of prime 2

A positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded.

Note that:

• 0 (zero) is not a prime number because it isn't divided by itself. Zero has an infinite number of divisors (any nonzero whole number divides zero). It cannot be written as a product of two factors, neither of which is itself, so zero is also not composite. More concisely, zero is not a prime or a composite number either.
• 1 (one) is neither a prime nor a composite number. One has only one positive divisor. It cannot be written as a product of two factors, neither of which is itself, so one is also not composite. THe number one falls in a class of numbers called units.