100 LearnersLast updated on May 26th, 2025
Factors of 1290
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 1290, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1290?
The numbers that divide 1290 evenly are known as factors of 1290.
A factor of 1290 is a number that divides the number without remainder.
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 18, 30, 43, 86, 129, 215, 258, 430, 645, and 1290.
Negative factors of 1290: -1, -2, -3, -5, -6, -10, -15, -18, -30, -43, -86, -129, -215, -258, -430, -645, and -1290.
Prime factors of 1290: 2, 3, 5, and 43.
Prime factorization of 1290: 2 × 3 × 5 × 43.
The sum of factors of 1290: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 18 + 30 + 43 + 86 + 129 + 215 + 258 + 430 + 645 + 1290 = 3186
How to Find Factors of 1290?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1290. Identifying the numbers which are multiplied to get the number 1290 is the multiplication method.
Step 1: Multiply 1290 by 1, 1290 × 1 = 1290.
Step 2: Check for other numbers that give 1290 after multiplying
2 × 645 = 1290
3 × 430 = 1290
5 × 258 = 1290
6 × 215 = 1290
10 × 129 = 1290
15 × 86 = 1290
18 × 43 = 1290
Therefore, the positive factor pairs of 1290 are: (1, 1290), (2, 645), (3, 430), (5, 258), (6, 215), (10, 129), (15, 86), and (18, 43).
For every positive factor pair, there is a negative factor pair.
Finding Factors Using Division Method
Dividing the given numbers with 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 a simple division method -
Step 1: Divide 1290 by 1, 1290 ÷ 1 = 1290.
Step 2: Continue dividing 1290 by the numbers until the remainder becomes 0.
1290 ÷ 1 = 1290
1290 ÷ 2 = 645
1290 ÷ 3 = 430
1290 ÷ 5 = 258
1290 ÷ 6 = 215
1290 ÷ 10 = 129
1290 ÷ 15 = 86
1290 ÷ 18 = 43
Therefore, the factors of 1290 are: 1, 2, 3, 5, 6, 10, 15, 18, 30, 43, 86, 129, 215, 258, 430, 645, and 1290.
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 1290 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1290 ÷ 2 = 645
645 ÷ 3 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1
The prime factors of 1290 are 2, 3, 5, and 43.
The prime factorization of 1290 is: 2 × 3 × 5 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1290 is divided by 2 to get 645.
Step 2: Now divide 645 by 3 to get 215.
Step 3: Then divide 215 by 5 to get 43.
Step 4: Here, 43 is a prime number, and it cannot be divided anymore.
So, the prime factorization of 1290 is: 2 × 3 × 5 × 43.
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 1290: (1, 1290), (2, 645), (3, 430), (5, 258), (6, 215), (10, 129), (15, 86), and (18, 43).
Negative factor pairs of 1290: (-1, -1290), (-2, -645), (-3, -430), (-5, -258), (-6, -215), (-10, -129), (-15, -86), and (-18, -43).
Common Mistakes and How to Avoid Them in Factors of 1290
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1290, 1 and 1290 are also factors.
Factors of 1290 Examples
Problem 1
There are 43 boxes and 1290 marbles. How will they distribute them equally?
They will get 30 marbles each.
Explanation
To distribute the marbles equally, divide the total marbles by the number of boxes.
1290/43 = 30
Problem 2
A rectangular garden has a length of 215 meters and a total area of 1290 square meters. Find the width.
6 meters.
Explanation
To find the width of the garden, use the formula,
Area = length × width
1290 = 215 × width
To find the width, divide the area by the length.
1290/215 = width
Width = 6.
Problem 3
There are 1290 apples and 215 baskets. How many apples will be in each basket?
Each basket will have 6 apples.
Explanation
To find the number of apples in each basket, divide the total apples by the number of baskets.
1290/215 = 6
Problem 4
In a class, there are 1290 students, and they are divided into 15 groups. How many students are there in each group?
There are 86 students in each group.
Explanation
Dividing the students by the total number of groups, we get the number of students in each group.
1290/15 = 86
Problem 5
1290 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 129 books.
Explanation
Divide the total books by the number of shelves.
1290/10 = 129
FAQs on Factors of 1290
1.What are the factors of 1290?
2.Mention the prime factors of 1290.
3.Is 1290 a multiple of 6?
4.Mention the factor pairs of 1290?
5.What is the square of 1290?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1290?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1290 with numbers?
8.What role do numbers and Factors of 1290 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 1290 skills?
Important Glossaries for Factors of 1290
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 18, 30, 43, 86, 129, 215, 258, 430, 645, and 1290.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 43 are prime factors of 1290.
- 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 1290 are (1, 1290), (2, 645), etc.
- Multiplication method: The method of finding factors by identifying pairs of numbers that multiply to the given number.
- Division method: The method of finding factors by dividing the number by integers and checking for zero remainders.
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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.
