100 LearnersLast updated on May 26th, 2025
Factors of 1390
Factors are the numbers that divide any given number evenly without a 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 1390, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1390?
The numbers that divide 1390 evenly are known as factors of 1390.
A factor of 1390 is a number that divides the number without remainder.
The factors of 1390 are 1, 2, 5, 10, 139, 278, 695, and 1390.
Negative factors of 1390: -1, -2, -5, -10, -139, -278, -695, and -1390.
Prime factors of 1390: 2, 5, and 139.
Prime factorization of 1390: 2 × 5 × 139.
The sum of factors of 1390: 1 + 2 + 5 + 10 + 139 + 278 + 695 + 1390 = 2520
How to Find Factors of 1390?
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 1390. Identifying the numbers which are multiplied to get the number 1390 is the multiplication method.
Step 1: Multiply 1390 by 1, 1390 × 1 = 1390.
Step 2: Check for other numbers that give 1390 after multiplying
2 × 695 = 1390
5 × 278 = 1390
10 × 139 = 1390
Therefore, the positive factor pairs of 1390 are: (1, 1390), (2, 695), (5, 278), (10, 139).
All these factor pairs result in 1390.
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 in whole numbers as factors. Factors can be calculated by following simple division method
Step 1: Divide 1390 by 1, 1390 ÷ 1 = 1390.
Step 2: Continue dividing 1390 by the numbers until the remainder becomes 0.
1390 ÷ 1 = 1390
1390 ÷ 2 = 695
1390 ÷ 5 = 278
1390 ÷ 10 = 139
Therefore, the factors of 1390 are: 1, 2, 5, 10, 139, 278, 695, 1390.
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 1390 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1390 ÷ 2 = 695
695 ÷ 5 = 139
139 ÷ 139 = 1
The prime factors of 1390 are 2, 5, and 139.
The prime factorization of 1390 is: 2 × 5 × 139.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1390 is divided by 2 to get 695.
Step 2: Now divide 695 by 5 to get 139.
Step 3: Here, 139 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1390 is: 2 × 5 × 139.
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 1390: (1, 1390), (2, 695), (5, 278), and (10, 139).
Negative factor pairs of 1390: (-1, -1390), (-2, -695), (-5, -278), and (-10, -139).
Common Mistakes and How to Avoid Them in Factors of 1390
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 1390, 1 and 1390 are also factors.
Factors of 1390 Examples
Problem 1
There are 10 cars and 1390 miles to cover. How will they distribute the miles equally among the cars?
Each car will cover 139 miles.
Explanation
To divide the miles equally, we need to divide the total miles by the number of cars.
1390/10 = 139
Problem 2
A rectangular parking area has a length of 278 meters and a total area of 1390 square meters. Find the width.
5 meters.
Explanation
To find the width of the parking area, we use the formula:
Area = length × width
1390 = 278 × width
To find the value of width, we need to shift 278 to the left side.
1390/278 = width
Width = 5.
Problem 3
There are 695 pieces of fruit and 2 baskets. How many pieces will be in each basket?
Each basket will have 347.5 pieces, but since we cannot have half a piece, we need whole number factors.
Explanation
To find the fruit in each basket, divide the total pieces by the number of baskets.
1390/2 = 695.
Therefore, each basket can have 695 pieces.
Problem 4
In a warehouse, there are 1390 boxes and 5 sections. How many boxes are there in each section?
There are 278 boxes in each section.
Explanation
Dividing the boxes by the total sections, we will get the number of boxes in each section.
1390/5 = 278
Problem 5
1390 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves will have 139 books.
Explanation
Divide total books by the number of shelves.
1390/10 = 139
FAQs on Factors of 1390
1.What are the factors of 1390?
2.Mention the prime factors of 1390.
3.Is 1390 a multiple of 5?
4.Mention the factor pairs of 1390?
5.What is the square of 1390?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1390?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1390 with numbers?
8.What role do numbers and Factors of 1390 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1390 skills?
Important Glossaries for Factors of 1390
- Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 1390 are 1, 2, 5, 10, 139, 278, 695, and 1390.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 139 are prime factors of 1390.
- 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 1390 are (1, 1390), (2, 695), etc.
- Prime factorization: The expression of a number as the product of its prime factors. The prime factorization of 1390 is 2 × 5 × 139.
- Negative factors: Factors can also be negative. For example, the negative factors of 1390 are -1, -2, -5, etc.
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About BrightChamps in United Arab Emirates
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.
