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162 LearnersLast updated on December 10th, 2024
Factors of 13
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.
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
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.
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.
Common Mistakes and How to Avoid Them in Factors of 13
Factors of 13, examples
Problem 1
What will be the sum of the squares of each factor of 13?
Explanation
Problem 2
Is 13 a factor of an even number?
Explanation
Problem 3
Can 13 be a factor of 260?
Explanation
Problem 4
How many prime numbers are there between 1 and 13?
Explanation
FAQs on Factors of 13
1. Does 13 have 3 factors?
2.Is 8 a factor of 13?
3.What are the multiples of 13?
4.Is 39 a factor of 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.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
