How many positive integers are factors of 7. How to find all positive factors of 7? Is 7 a prime or a composit number?

### The factors of the number 7 are: 7, 1

The square root of 7 rounded up to the nearest integer is 3. This is the limit to test our divisions because any number greater than 3 times 3 is greater than 7. So, we stop at 3.

Let's test the values 1 through 3 for division into 7.

• 7/1 = 7. Remainder = 0. So, 7 and 1 are factors.
• 7/2 = 3. Remainder = 1. So, 3 isn't a factor.
• 7/3 = 2. Remainder = 1. So, 2 isn't a factor.

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 7 (including 7) with no remainder are: 7, 1.

### So, the factors of the number 7 are: 7, 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 7 has just two factors (1 and itself), it is termed a prime number in mathematics.

As 7 is a prime number, we can't factorize it.