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Last updated on December 10th, 2024

Factors of 130

Q: How to make 130 in multiplication?

We can multiply some integers with some other integers to get the product as 130. Those particular integers are: 1,2,5,10,13,26, and 130, out of which we make factor pairs for multiplication purposes. The factor pairs are: (1,130), (2,65), (5,26), (10,13). 130×1=130, 2×65=130, 5×26=130, 10×13=130.

Q: How many divisors does 130 have?

Perfect division of 130 can be possible, only when 130 is divided by 1,2,5,10,13,26,65,130, leaving no remainder. These are also called the factors of 130. Hence, there are a total of 8 divisors for 130.

Q: What times 13 equals 130?

13×10=130. According to the factor pairs of 130, (10,13) is applied for the multiplication purpose.

Q: What is 8 multiplied by 130?

8×130 = 1040, i.e., when 130 is multiplied by 8 it gives a product of 1040.

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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

$Factors of 130 by multiplication method$

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

$Factors of 130 by the division method$

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.

$Factors of 130 using factor tree$

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

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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?

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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.