149 LearnersLast updated on May 26th, 2025
Factors of 1769
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 1769, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1769?
The numbers that divide 1769 evenly are known as factors of 1769.
A factor of 1769 is a number that divides the number without remainder.
The factors of 1769 are 1, 13, 136, and 1769.
Negative factors of 1769: -1, -13, -136, and -1769.
Prime factors of 1769: 13 and 136.
Prime factorization of 1769: 13 × 136.
The sum of factors of 1769: 1 + 13 + 136 + 1769 = 1919
How to Find Factors of 1769?
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 1769. Identifying the numbers which are multiplied to get the number 1769 is the multiplication method.
Step 1: Multiply 1769 by 1, 1769 × 1 = 1769.
Step 2: Check for other numbers that give 1769 after multiplying 13 × 136 = 1769
Therefore, the positive factor pairs of 1769 are: (1, 1769) and (13, 136).
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 1769 by 1, 1769 ÷ 1 = 1769.
Step 2: Continue dividing 1769 by the numbers until the remainder becomes 0.
1769 ÷ 1 = 1769
1769 ÷ 13 = 136
Therefore, the factors of 1769 are: 1, 13, 136, and 1769.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1769 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1769 ÷ 13 = 136
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
The prime factors of 1769 are 13 and 17.
The prime factorization of 1769 is: 13 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1769 is divided by 13 to get 136.
Step 2: Divide 136 by 2 to get 68.
Step 3: Then divide 68 by 2 to get 34.
Step 4: Divide 34 by 2 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1769 is: 13 × 17.
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 1769: (1, 1769) and (13, 136).
Negative factor pairs of 1769: (-1, -1769) and (-13, -136).
Common Mistakes and How to Avoid Them in Factors of 1769
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 1769, 1 and 1769 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 1769 include -1, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 1769/1.5 = 1179.333, 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 1769 are prime numbers.
For example, 13 and 17 are the prime factors of 1769, but it has other factors like 136.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1769 as 13 × 17 and missing all the key factors.
Factors of 1769 Examples
Problem 1
There are 13 teams and 1769 players. How will they divide it equally?
They will get 136 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of teams.
1769/13 = 136
Problem 2
A field is rectangular, the length of the field is 13 meters and the total area is 1769 square meters. Find the width?
136 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1769 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1769/13 = width
Width = 136.
Problem 3
There are 17 boxes and 1769 items. How many items will be in each box?
Each box will have 104 items.
Explanation
To find the items in each box, divide the total items with the boxes.
1769/17 = 104
Problem 4
In a class, there are 1769 students, and 13 groups. How many students are there in each group?
There are 136 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1769/13 = 136
Problem 5
1769 apples need to be arranged in 13 baskets. How many apples will go in each basket?
Each of the baskets has 136 apples.
Explanation
Divide total apples with baskets.
1769/13 = 136
FAQs on Factors of 1769
1.What are the factors of 1769?
2.Mention the prime factors of 1769.
3.Is 1769 a multiple of 13?
4.Mention the factor pairs of 1769?
5.What is the square of 1769?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1769?
7.What are some fun ways kids in Bahrain can practice Factors of 1769 with numbers?
8.What role do numbers and Factors of 1769 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1769 skills?
Important Glossaries for Factor of 1769
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1769 are 1, 13, 136, and 1769.
- Prime factors: The factors which are prime numbers. For example, 13 and 17 are prime factors of 1769.
- 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 1769 are (1, 1769) and (13, 136).
- Prime factorization: It is the expression of a number as the product of its prime factors. For example, 1769 = 13 × 17.
- Multiplication method: A method used to find factor pairs by identifying numbers that multiply to give the original number. For example, for 1769: 13 × 136 = 1769.
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About BrightChamps in Bahrain
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.
