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233 LearnersLast updated on December 17, 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
| Factor Type | Values |
| Positive Factors of 290 | (1, 2, 5, 10, 29, 58, 145, 290) |
| Negative Factors of 290 | (-1, -2, -5, -10, -29, -58, -145, and -290) |
| Prime Factors of 290 | (2, 5, 29) |
| Prime Factorization of 290 | 2 × 5 × 29 |
| Sum of factors of 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.
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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
- Multiplying prime numbers to get the given number as their product is called prime factors.
- Prime factorization is the process of breaking down the number into its prime factors.
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.
Prime Factorization of 290
Prime Factorization breaks down the prime factors of 290.
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 Tree of 290
The prime factorization is visually represented using the factor tree. It helps to understand the process easily.
Factor Pairs of 290
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:
| Factors | Positive Pair Factors |
| 1 × 290 = 290 | 1, 290 |
| 2 × 145 = 290 | 2, 145 |
| 5 × 58 = 290 | 5, 58 |
| 10 × 29 = 290 | 10, 29 |
Negative factor pairs of 290:
| Factors | Negative Pair Factors |
| −1 × −290 = 290 | −1, −290 |
| −2 × −145 = 290 | −2, −145 |
| −5 × −58 = 290 | −5, −58 |
| −10 × −29 = 290 | −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.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 290 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 290/1.5 = 193.333, 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 290 are prime numbers.
For example, 2, 5, and 29 are the prime factors of 290, but it has other factors like 10 and 58.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 290 as 2 × 5 × 29 and missing all the key 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
A Costco warehouse in San Francisco is reconciling grocery bills after correcting a local sales-tax entry. The system shows a 290 USD adjustment that must be divided into equal whole-dollar corrections across teams. What are all the factors of 290 that represent possible equal splits?
1, 2, 5, 10, 29, 58, 145, 290
Explanation
To find the factors of 290, start with its prime factorization.
290 = 2 × 5 × 29
All factors are formed by multiplying these primes in different combinations.
Each resulting number divides 290 exactly with no remainder, giving the complete factor list.
Problem 4
In a Boston middle-school science lab, students analyze pharmacy inventory similar to systems used by CVS. A sample contains 290 mg of a compound that must be divided into equal integer dosage units. Which numbers are factors of 290?
1, 2, 5, 10, 29, 58, 145, 290
Explanation
A factor is a number that divides 290 evenly without leaving a remainder.
Using the prime factorization 2 × 5 × 29, all valid combinations produce the factors listed.
Each value allows the dosage to be split evenly.
Problem 5
An NBA team in Los Angeles (LA) reviews travel expenses after a road game in Dallas. Based on gas prices per gallon, the team records 290 gallons of fuel usage that must be split evenly across fuel logs. What are all the factors of 290 that allow an exact split?
1, 2, 5, 10, 29, 58, 145, 290
Explanation
Equal distribution requires numbers that divide 290 with no remainder.
Since 290 = 2 × 5 × 29, it has a specific set of divisors.
Those divisors represent all valid equal splits of the fuel amount.
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 many factors does 290 have?
7.What is the smallest factor of 290?
8.What is the largest factor of 290?
9.Which factors of 290 add up to 13?
10.How many even factors does 290 have?
11.What are the odd factors of 290?
12.What is the sum of all the factors of 290?
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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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.
