Table Of Contents

Table of Contents

130 Learners

Last updated on December 10th, 2024

Factors of 13

Foundation

Intermediate

Advance Topics

Factors are those numbers which that can completely divide the number. You can observe that, factors have a great impact on mathematical problem-solving starting from lower grades. We use factors in getting ingredients for cooking or for assorting gifts.

What are the factors of 13

As it is a prime number, there 13 has only 2 factors — 1 and 13.

Negative factors of 13: Negative Factors of 13 are -1 and -13.

Prime factors of 13: 1 and 13.

Prime Factorization of 13: It is expressed as 13×1.

Sum of Factors: The sum of factors of 13 is 13+1 =14

How to Find the Factors of 13

Children find factors in solving. While doing the calculations, most times, students forget to take 1 and the number as factors. Few methods are explained below for easy solution of factors -

Multiplication Method

Division Method

Prime Factor and Prime Factorization

Factor Tree

Finding Factors Using Multiplication Method

The multiplication method finds the pair of factors that give 13 as their product.

Multiply the factors 1 and 13, 1×13 = 13.

$Factors of 13 by multiplication method$

Finding Factors Using Division Method

The division method finds the numbers that perfectly divides the given number 13.

1 and 13 are the only factors that the number 13 has. So to verify the factors of 13 using the division method, we just need to divide 13 by 1→ 13/1 =13 and 13 by 13→ 13/13 =1

$Factors of 13 by the division method$

Prime Factors and Factorization

To get the 13 as their product, we multiply a set of prime numbers, and that set is called prime factors. Prime factorization is the process of breaking down the number into its prime factors.

Prime Factors of 13: 1, 13.

Prime Factorization of 13: 13×1

Factor tree: A factor tree is not necessary to find the factors of 13. Since 13 is a prime number, the multiplication and division methods are enough to calculate the factors of 13. Factor trees are useful when you are dealing with composite numbers.

Factor Pairs - Factors of 13 can be written in both positive pairs and negative pairs.
$Factors of 13 using factor tree$

Positive pair : (1,13)

Negative Pair: (-1,-13)

The product of the factor pairs will be equal to the number 13. 1×13=13 and -1×(-13)=13.

Important Glossaries for Factors of 13

Factors - These are numbers that divide the given number without leaving any remainder.

Prime Factorization - It involves breaking the number into its prime factors.

Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.

Composite numbers - These are numbers having more than two factors.

Multiple - It is a product of the given number and any other integer.