**Factors of 13 are 1, 13**.

Here is complete detailed methods to find the factors of 13.

Actually, Factor is a number which divides any number completely without leaving remainder.

Or simply we can say that if we multiply two whole numbers (positive & negative) and it gives a product. Then the numbers that we multiply, are the factors of the product.

For example, if we multiply 1 to 13, it gives 13. Here 1 and 13 are called positive factors and if we multiply -1 to -13, it gives 13. So -1 and -13 are called negative factors.

Table of Contents

## How to Find The Factors of 13 ?

Since factors of 13 are the numbers, which divides 13 completely without leaving remainder. So here we are going to divide 13 by all numbers up to 13. Let’s see the process –

We have to stop the process, if any number of column ‘B’ appears in column ‘A’ or when any element comes in both columns at same level and this element will consider as a factor.

Here we stop the division when 13 appears in column ‘A’, which has already been came in column ‘B’.

Hence, all the factor of 13 in above table are : 1, 13

Similarly, negative factor of 13 are : -1, -13

## What Are The Factors of 13 in Pairs ?

As we saw in above table, 1 multiply by 13 gives 13. So (1, 13) is a factor pair of 13. Let us see how many factor pairs can be achieved –

1 x 13 = 13

13 x 1 = 13

Similarly, negative factor pairs of 13 can be written as follows –

-1 x -13 = 13

-13 x -1 = 13

Hence, 13 has 2 factor pairs.

## What Are the Prime Factors of 13 ?

Since 13 is itself a prime number, hence it has only one prime factor i.e. 13. Here we will discuss, mainly two methods of factorization to find Prime Factors of any number.

- Division Method
- Factor Tree Method

### Prime Factors of 13 by Division Method

**Step 1 :** Divide the number by the smallest prime number, which divides the number exactly.**Step 2 :** Divide the quotient again by the smallest prime number. If quotient is not exactly divisible by the

smallest prime number, choose next smallest prime number.**Step 3 :** Repeat Step 2 again and again till the quotient becomes 1.**Step 4 :** All the prime numbers used in above process are the prime factors.

Check : Multiply all the prime factors, the multiplication should be the number itself.

Caution : In this method, only prime numbers will be use to divide.

Since 13 is a prime number, hence 13 has only one prime factor i.e. 13.

### Factor Tree of 13

**Step 1 :** Write a number as root of the tree**Step 2 :** Find the factors of the number, each factor will be considered as root again (now, we got 2 new root)**Step 3 :** Repeat step 2 until we can’t factor any more (or until we got prime factor)**Step 4 :** The end nodes are the prime factors.

We can initiate the tree by choosing any two factors. Here we choose 1 and 13 as factors of 13.

We got the same unique nodes in every tree.

The Factor Tree may be made so many types depends upon choosing the initial and middle factors.

## Number of Factors of 13

The **Number of Factors of 13 is **2.

If we consider both positive and negative factors, then

total no. of factors = 2 (positive) + 2 (negative) = 4

I hope, this step-by-step tutorial will be helpful to understand factorization method of 13.

## FAQ

### What are the factors or divisors of the number 13?

The factors or divisors of the number 13 are 1, 13.

### What are the prime factors of the number 13?

The prime factors of the number 13 is only 13 as it is a prime number itself.

### What is the total number of factors of the number 13?

The total number of factors of the number 13 is 2.

### What is the total number of prime factors of the number 13?

The total number of prime factors of the number 13 is 1.

### What is the sum of all factors of the number 13 including 13?

The sum of all the factors of the number 13 including 13 is 14 (i.e 1 + 13 = 14)

### What is the sum of all factors of the number 13 excluding 13?

The sum of all the factors of the number 13 excluding 13 is 1.

### What are the factor combinations of the number 13?

The factor combinations of the number 13 are (1, 13) & (13, 1).

### What is the prime factorization of the number 13?

The prime factorization of the number 13 is 13.

### What is the product of all factors of the number 13?

The product of all factors of number 13 is 13 (i.e. 1 x 13 = 13)

### What is the product of all prime factors of the number 13?

The product of all prime factors of number 13 is 13.

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