 # Factors of 9

Factors of 9 are all the numbers that are divisible into 9 without any remainders. These factors are whole numbers and can be both positive and negative. In this page, we will learn how to find out all the factors of 9, including prime factors of 9.

• Factors of 9 are : 1, 3, 9
• Prime Factors of 9 : 9 = 3 × 3

Multiplication

1 x 9

3 x 3

Positive pair
factors of 9

(1, 9)

(3, 3)

Negative pair
factors of 9

(-1, -9)

(-3, -3)

## Prime Factors of 9

### To obtin the prime factors of 9, you need to find the factors of 9 and divide them out.

• 9 divided by 3 is 3
• 3 is a prime number
• You get the final breakdown of the 9 = 3 × 3

### Alternately, we can organize all the prime factors of 9 using a tree diagram: To list out all the prime factors : 9 = 3 × 3

To find out more factors:

## How to Calculate the Factors of 9

Factors must be the whole numbers, which means fractions like 5.6 is not considered as a factor. We use the integers to divide 9, if there is no remainder, then the integers you use are the factors of 9. We can always dividing 9 by 1 to get started, then move to different integers.

9/1 = 9 (Factor = 1 and remainder = 0)

9/3 = 3 (Factor = 3 and remainder = 0)

### Note:

If we divide 56 by numbers other than 1, 2, 4, 7, 8, 14, 28 and 56, there must be a remainder. Let us try 3, ## Examples

### 1. Find the common factors of 23 and 56

The factors of 23 are: 1,23. (23 is a prime number)
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56 ### 2. Find the common factors of 52 and 56

The factors of 52 are: 1, 2, 4, 13, 26, and 52.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56 ### 3. Find the common factors of 33 and 56

The factors of 33 are: 1, 3, 11 and 33.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56 ## FAQ - Factor of 56

### What are the multiples of 56?

1x56=52, 2x56=112, 3x56=168, 4x56=224, 5x56=280...

### Is 56 prime or composite?

Composite number, because 56 can be divided evenly by 1 and 56, (2, 28), (4, 14), (7, 8) are also the pairs of factors of 56

### How many prime factors are there in 56?

The prime factors of 56 = 2x2x2x7, which means there are 2 prime factors in 56, they are 2 and 7.

### What is the perfect number?

The perfect number is a positive integar that equal to the sum of its proper divisors.( not include itself) For example, 6 is the smallest perfect number, the factors of 6 are: 1,2,3,6. 6=1+2+3

### Do numbers end?

No, numbers are infinite and never end.