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180 LearnersLast updated on December 10th, 2024
Factors of 130
Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 130. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 130.
What are the Factors of 130?
The factors of 130 or the numbers which divide 130 exactly are:
1,2,5,10,13,26,65, and 130.
Negative factors of 130: -1,-2,-5,-10,-13,-26,-65,-130.
Prime factors of 130: 2,5,13
Prime factorization of 130: 2×5×13
The sum of factors of 130: 1+2+5+10+13+26+65+130= 252
How to Find the Factors of 130
For finding factors of 130, we will be learning these below-mentioned methods:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors using Multiplication Methods
This particular method often finds the pair of factors which, on multiplication together, produces 130. Let us find the pairs which, on multiplication, yields 130.
1×130=130
2×65=130
5×26=130
10×13=130
So, factors of 130 are: 1,2,5,10,13,26,65, and 130.
Finding Factors using Division Method
The division method finds the factors that evenly divides the given number 130. In this process, we have to divide 130 by all possible natural numbers less than 130 and check.
1,2,5,10,13,26,65, and 130 are the only factors that the number 130 has. So to verify the factors of 130 using the division method, we just need to divide 130 by each factor.
130/1 =130
130/2=65
130/5=26
130/10=13
130/13=10
130/26=5
130/65=2
130/130=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 130 into a product of its prime integers.
Prime Factors of 130: 2,5,13.
Prime Factorization of 130: 2×5×13
Factor tree
The number 130 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 130.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 130 are 2 and 65, then proceeding to 65, we get 5 and 13. So, now the factor tree for 130 is achieved.
Factor Pairs
Positive pair factors: (1,130), (2,65), (5,26), (10,13).
Negative pair factors: (-1,-130), (-2,-65), (-5,-26), (-10,-13).
Common Mistakes and How to Avoid Them in Factors of 130
Factors of 130 Examples
Problem 1
A baker has 65 cupcakes and 130 cookies. He wants to divide them equally among some plates. What is the maximum number of plates he can use?
Explanation
Problem 2
Two trains leave a station at the same time. One leaves every 65 minutes and the other every 130 minutes. When will they leave together again?
Explanation
Problem 3
The area of a rectangle is 130 square units. If the length is 10 units, then what is the measure of its width?
Explanation
Problem 4
Find the smallest number that is divisible by 5,10, and 13.
Explanation
Problem 5
If a number is divisible by both 2 and 65, is it divisible by 130?
Explanation
FAQs on Factors of 130
1.How to make 130 in multiplication?
2.What are multiples of 130?
3.How many divisors does 130 have?
4.What times 13 equals 130?
5.What is 8 multiplied by 130?
Important Glossaries for Factors of 130
- Multipliers - Number which multiplies or a number by which another number is multiplied.
- Dividers - A number that divides.
- Prime Factorization - It involves factoring 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.
