100 LearnersLast updated on May 26th, 2025
Factors of 1469
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 1469, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1469?
The numbers that divide 1469 evenly are known as factors of 1469.
A factor of 1469 is a number that divides the number without remainder.
The factors of 1469 are 1, 37, and 1469.
Negative factors of 1469: -1, -37, and -1469.
Prime factors of 1469: 37 and 41.
Prime factorization of 1469: 37 × 41.
The sum of factors of 1469: 1 + 37 + 1469 = 1507
How to Find Factors of 1469?
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 1469. Identifying the numbers which are multiplied to get the number 1469 is the multiplication method.
Step 1: Multiply 1469 by 1, 1469 × 1 = 1469.
Step 2: Check for other numbers that give 1469 after multiplying
37 × 41 = 1469
Therefore, the positive factor pairs of 1469 are: (1, 1469) and (37, 41).
All these factor pairs result in 1469.
For every positive factor, there is a negative factor.
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 1469 by 1, 1469 ÷ 1 = 1469.
Step 2: Continue dividing 1469 by the numbers until the remainder becomes 0.
1469 ÷ 1 = 1469
1469 ÷ 37 = 41
Therefore, the factors of 1469 are: 1, 37, and 1469.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1469 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1469 ÷ 37 = 41
41 ÷ 41 = 1
The prime factors of 1469 are 37 and 41.
The prime factorization of 1469 is: 37 × 41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1469 is divided by 37 to get 41.
Step 2: Now divide 41 by 41 to get 1.
Here, 41 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1469 is: 37 × 41.
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 1469: (1, 1469) and (37, 41).
Negative factor pairs of 1469: (-1, -1469) and (-37, -41).
Common Mistakes and How to Avoid Them in Factors of 1469
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 1469, 1 and 1469 are also factors.
Factors of 1469 Examples
Problem 1
There are 37 students and 1469 marbles. How will they divide it equally?
They will get 39 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of students.
1469/37 = 39
Problem 2
A rectangular garden has a length of 37 meters and a total area of 1469 square meters. Find the width?
41 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1469 = 37 × width
To find the value of width, we need to shift 37 to the left side.
1469/37 = width
Width = 41.
Problem 3
There are 41 boxes and 1469 candies. How many candies will be in each box?
Each box will have 37 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
1469/41 = 37
Problem 4
In a class, there are 1469 students, and 37 groups. How many students are there in each group?
There are 39 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1469/37 = 39
Problem 5
1469 books need to be arranged in 37 shelves. How many books will go on each shelf?
Each of the shelves has 39 books.
Explanation
Divide total books with shelves.
1469/37 = 39
FAQs on Factors of 1469
1.What are the factors of 1469?
2.Mention the prime factors of 1469.
3.Is 1469 a multiple of 37?
4.Mention the factor pairs of 1469?
5.What is the square of 1469?
6.How can children in Australia use numbers in everyday life to understand Factors of 1469?
7.What are some fun ways kids in Australia can practice Factors of 1469 with numbers?
8.What role do numbers and Factors of 1469 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1469 skills?
Important Glossaries for Factors of 1469
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1469 are 1, 37, and 1469.
- Prime factors: The factors which are prime numbers. For example, 37 and 41 are prime factors of 1469.
- 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 1469 are (1, 1469) and (37, 41).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1469 is 37 × 41.
- Division method: A method to find factors by dividing the number by integers to check for a zero remainder, identifying factors in the process.
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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.
