### The factors of the number 2 are: 2, 1

The square root of 2 rounded up to the nearest integer is 2. This is the limit to test our divisions because any number greater than 2 times 2 is greater than 2. So, we stop at 2.

Let's test the values 1 through 2 for division into 2.

- 2/1 = 2. Remainder = 0. So, 2 and 1 are factors.
- 2/2 = 1. Remainder = 0. So, 1 and 2 are factors.

Factors of a number 'x' are numbers that can divide 'x' without remainder, ie, remainder = 0. So, choosing only the numbers that meet this criteria from the list above, we find that the numbers which divide 2 (including 2) with no remainder are: 2, 1.

### So, the factors of the number 2 are: 2, 1.

A composite number has more than two factors. A prime number has only two factors: 1 and itself. The number 1 is neither prime nor composite.

Because the number 2 has just two factors (1 and itself), it is termed a prime number in mathematics.

As 2 is a prime number, we can't factorize it.