116 LearnersLast updated on May 26th, 2025
Factors of 1330
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1330, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1330?
The numbers that divide 1330 evenly are known as factors of 1330.
A factor of 1330 is a number that divides the number without remainder.
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, and 1330.
Negative factors of 1330: -1, -2, -5, -7, -10, -14, -19, -35, -38, -70, -95, -133, -190, -266, -665, and -1330.
Prime factors of 1330: 2, 5, 7, and 19.
Prime factorization of 1330: 2 × 5 × 7 × 19.
The sum of factors of 1330: 1 + 2 + 5 + 7 + 10 + 14 + 19 + 35 + 38 + 70 + 95 + 133 + 190 + 266 + 665 + 1330 = 2880
How to Find Factors of 1330?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1330. Identifying the numbers which are multiplied to get the number 1330 is the multiplication method.
Step 1: Multiply 1330 by 1, 1330 × 1 = 1330.
Step 2: Check for other numbers that give 1330 after multiplying:
2 × 665 = 1330
5 × 266 = 1330
7 × 190 = 1330
10 × 133 = 1330
14 × 95 = 1330
19 × 70 = 1330
38 × 35 = 1330
Therefore, the positive factor pairs of 1330 are: (1, 1330), (2, 665), (5, 266), (7, 190), (10, 133), (14, 95), (19, 70), and (38, 35).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method:
Step 1: Divide 1330 by 1, 1330 ÷ 1 = 1330.
Step 2: Continue dividing 1330 by the numbers until the remainder becomes 0.
1330 ÷ 1 = 1330
1330 ÷ 2 = 665
1330 ÷ 5 = 266
1330 ÷ 7 = 190
1330 ÷ 10 = 133
1330 ÷ 14 = 95
1330 ÷ 19 = 70
1330 ÷ 35 = 38
Therefore, the factors of 1330 are: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1330 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1330 ÷ 2 = 665
665 ÷ 5 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
The prime factors of 1330 are 2, 5, 7, and 19.
The prime factorization of 1330 is: 2 × 5 × 7 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1330 is divided by 2 to get 665.
Step 2: Now divide 665 by 5 to get 133.
Step 3: Then divide 133 by 7 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1330 is: 2 × 5 × 7 × 19.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1330: (1, 1330), (2, 665), (5, 266), (7, 190), (10, 133), (14, 95), (19, 70), and (38, 35).
Negative factor pairs of 1330: (-1, -1330), (-2, -665), (-5, -266), (-7, -190), (-10, -133), (-14, -95), (-19, -70), and (-38, -35).
Common Mistakes and How to Avoid Them in Factors of 1330
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1330, 1 and 1330 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1330 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1330/1.5 = 886.67, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1330 are prime numbers.
For example, 2, 5, 7, and 19 are the prime factors of 1330, but it has other factors like 10, 14, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1330 as 2 × 5 × 7 × 19 and missing all the key factors.
Factors of 1330 Examples
Problem 1
There are 14 employees and 1330 files. How will they distribute them equally?
They will get 95 files each.
Explanation
To divide the files equally, we need to divide the total files with the number of employees.
1330/14 = 95
Problem 2
A wall is rectangular, the length of the wall is 19 meters, and the total area is 1330 square meters. Find the width?
70 meters.
Explanation
To find the width of the wall, we use the formula,
Area = length × width
1330 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1330/19 = width
Width = 70.
Problem 3
There are 35 boxes and 1330 items. How many items will be in each box?
Each box will have 38 items.
Explanation
To find the items in each box, divide the total items with the boxes.
1330/35 = 38
Problem 4
In a conference, there are 1330 attendees, and 95 groups. How many attendees are there in each group?
There are 14 attendees in each group.
Explanation
Dividing the attendees with the total groups, we will get the number of attendees in each group.
1330/95 = 14
Problem 5
1330 chairs need to be arranged in 190 rows. How many chairs will go in each row?
Each of the rows will have 7 chairs.
Explanation
Divide total chairs with rows.
1330/190 = 7
FAQs on Factors of 1330
1.What are the factors of 1330?
2.Mention the prime factors of 1330.
3.Is 1330 a multiple of 7?
4.Mention the factor pairs of 1330?
5.What is the square of 1330?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1330?
7.What are some fun ways kids in Qatar can practice Factors of 1330 with numbers?
8.What role do numbers and Factors of 1330 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1330 skills?
Important Glossaries for Factors of 1330
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, and 1330.
- Prime factors: The factors which are prime numbers. For example, 2, 5, 7, and 19 are prime factors of 1330.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1330 are (1, 1330), (2, 665), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1330 is 2 × 5 × 7 × 19.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1330 is a multiple of 7.
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About BrightChamps in Qatar
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.
