100 LearnersLast updated on May 27th, 2025
Factors of 1190
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1190, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1190?
The numbers that divide 1190 evenly are known as factors of 1190.
A factor of 1190 is a number that divides the number without remainder.
The factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, and 1190.
Negative factors of 1190: -1, -2, -5, -7, -10, -14, -17, -34, -35, -70, -85, -119, -170, -238, -595, and -1190.
Prime factors of 1190: 2, 5, 7, and 17.
Prime factorization of 1190: 2 × 5 × 7 × 17.
The sum of factors of 1190: 1 + 2 + 5 + 7 + 10 + 14 + 17 + 34 + 35 + 70 + 85 + 119 + 170 + 238 + 595 + 1190 = 2602
How to Find Factors of 1190?
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 1190. Identifying the numbers which are multiplied to get the number 1190 is the multiplication method.
Step 1: Multiply 1190 by 1, 1190 × 1 = 1190.
Step 2: Check for other numbers that give 1190 after multiplying
2 × 595 = 1190
5 × 238 = 1190
7 × 170 = 1190
10 × 119 = 1190
14 × 85 = 1190
17 × 70 = 1190
34 × 35 = 1190
Therefore, the positive factor pairs of 1190 are: (1, 1190), (2, 595), (5, 238), (7, 170), (10, 119), (14, 85), (17, 70), (34, 35). All these factor pairs result in 1190. 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 1190 by 1, 1190 ÷ 1 = 1190.
Step 2: Continue dividing 1190 by the numbers until the remainder becomes 0.
1190 ÷ 1 = 1190
1190 ÷ 2 = 595
1190 ÷ 5 = 238
1190 ÷ 7 = 170
1190 ÷ 10 = 119
1190 ÷ 14 = 85
1190 ÷ 17 = 70
1190 ÷ 34 = 35
Therefore, the factors of 1190 are: 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190.
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 1190 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1190 ÷ 2 = 595
595 ÷ 5 = 119
119 ÷ 7 = 17
17 ÷ 17 = 1
The prime factors of 1190 are 2, 5, 7, and 17.
The prime factorization of 1190 is: 2 × 5 × 7 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1190 is divided by 2 to get 595.
Step 2: Now divide 595 by 5 to get 119.
Step 3: Then divide 119 by 7 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1190 is: 2 × 5 × 7 × 17.
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 1190: (1, 1190), (2, 595), (5, 238), (7, 170), (10, 119), (14, 85), (17, 70), (34, 35).
Negative factor pairs of 1190: (-1, -1190), (-2, -595), (-5, -238), (-7, -170), (-10, -119), (-14, -85), (-17, -70), (-34, -35).
Common Mistakes and How to Avoid Them in Factors of 1190
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1190, 1 and 1190 are also factors.
Factors of 1190 Examples
Problem 1
A factory produces 1190 widgets in a day. How many widgets can be packed equally into 17 boxes?
70 widgets in each box.
Explanation
To divide the widgets equally, we need to divide the total widgets by the number of boxes.
1190/17 = 70
Problem 2
A large hall has a capacity of 1190 seats. If the seats are arranged in 34 rows, how many seats are there per row?
35 seats.
Explanation
To find the seats per row, we use the formula, Total seats = rows × seats per row
1190 = 34 × seats per row
To find the value of seats per row, we need to shift 34 to the left side.
1190/34 = seats per row
Seats per row = 35.
Problem 3
There are 238 apples to be packed in boxes of 5 apples each. How many boxes will be needed?
48 boxes.
Explanation
To find the number of boxes, divide the total apples by the number of apples per box.
238/5 = 47.6
Since we cannot have a fraction of a box, round up to 48 boxes.
Problem 4
A company has 1190 employees and wants to form teams with 10 members each. How many teams can be formed?
119 teams.
Explanation
Dividing the employees by the team members, we will get the number of teams that can be formed.
1190/10 = 119
Problem 5
1190 books need to be distributed equally among 14 libraries. How many books will each library receive?
85 books.
Explanation
Divide total books by libraries.
1190/14 = 85
FAQs on Factors of 1190
1.What are the factors of 1190?
2.Mention the prime factors of 1190.
3.Is 1190 a multiple of 7?
4.Mention the factor pairs of 1190?
5.What is the square of 1190?
Important Glossaries for Factors of 1190
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, and 1190.
- Prime factors: The factors which are prime numbers. For example, 2, 5, 7, and 17 are prime factors of 1190.
- 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 1190 are (1, 1190), (2, 595), etc.
- Multiplication method: A way to find factor pairs by identifying pairs of numbers that multiply to give the original number.
- Division method: A technique to find factors by dividing the number by different integers to see which divisions result in a whole number without a remainder.
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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.
