103 LearnersLast updated on May 26th, 2025
Factors of 290
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 290, how they are used in real life, and tips to learn them quickly.
What are the Factors of 290?
The numbers that divide 290 evenly are known as factors of 290.
A factor of 290 is a number that divides the number without a remainder.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, and 290.
Negative factors of 290: -1, -2, -5, -10, -29, -58, -145, and -290.
Prime factors of 290: 2, 5, and 29.
Prime factorization of 290: 2 × 5 × 29.
The sum of factors of 290: 1 + 2 + 5 + 10 + 29 + 58 + 145 + 290 = 540
How to Find Factors of 290?
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 290. Identifying the numbers which are multiplied to get the number 290 is the multiplication method.
Step 1: Multiply 290 by 1, 290 × 1 = 290.
Step 2: Check for other numbers that give 290 after multiplying
2 × 145 = 290
5 × 58 = 290
10 × 29 = 290
Therefore, the positive factor pairs of 290 are: (1, 290), (2, 145), (5, 58), (10, 29).
All these factor pairs result in 290. 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 a simple division method -
Step 1: Divide 290 by 1, 290 ÷ 1 = 290.
Step 2: Continue dividing 290 by the numbers until the remainder becomes 0.
290 ÷ 1 = 290
290 ÷ 2 = 145
290 ÷ 5 = 58
290 ÷ 10 = 29
Therefore, the factors of 290 are: 1, 2, 5, 10, 29, 58, 145, 290.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 290 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
290 ÷ 2 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
The prime factors of 290 are 2, 5, and 29.
The prime factorization of 290 is: 2 × 5 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 290 is divided by 2 to get 145.
Step 2: Now divide 145 by 5 to get 29.
Step 3: Divide 29 by 29 to get 1. Here, 29 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 290 is: 2 × 5 × 29.
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 290: (1, 290), (2, 145), (5, 58), and (10, 29).
Negative factor pairs of 290: (-1, -290), (-2, -145), (-5, -58), and (-10, -29).
Common Mistakes and How to Avoid Them in Factors of 290
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 290, 1 and 290 are also factors.
Factors of 290 Examples
Problem 1
There are 10 friends and 290 marbles. How will they divide it equally?
They will get 29 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends. 290/10 = 29
Problem 2
A rectangular picture has a length of 29 cm and a total area of 290 square cm. Find the width.
10 cm.
Explanation
To find the width of the picture, we use the formula,
Area = length × width
290 = 29 × width
To find the value of width, we need to shift 29 to the left side.
290/29 = width
Width = 10.
Problem 3
There are 58 bags and 290 apples. How many apples will be in each bag?
Each bag will have 5 apples.
Explanation
To find the apples in each bag, divide the total apples by the bags.
290/58 = 5
Problem 4
In a class, there are 290 students and 5 groups. How many students are there in each group?
There are 58 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
290/5 = 58
Problem 5
290 books need to be arranged in 2 bookshelves. How many books will go on each shelf?
Each of the shelves has 145 books.
Explanation
Divide total books by shelves.
290/2 = 145
FAQs on Factors of 290
1.What are the factors of 290?
2.Mention the prime factors of 290.
3.Is 290 a multiple of 29?
4.Mention the factor pairs of 290?
5.What is the square of 290?
6.How can children in Singapore use numbers in everyday life to understand Factors of 290?
7.What are some fun ways kids in Singapore can practice Factors of 290 with numbers?
8.What role do numbers and Factors of 290 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 290 skills?
Important Glossaries for Factor of 290
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 290 are 1, 2, 5, 10, 29, 58, 145, and 290.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 29 are prime factors of 290.
- 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 290 are (1, 290), (2, 145), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 290 is 2 × 5 × 29.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 290 is a multiple of 29.
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About BrightChamps in Singapore
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.
