121 LearnersLast updated on May 26th, 2025
Factors of 1907
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1907, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1907?
The numbers that divide 1907 evenly are known as factors of 1907.
A factor of 1907 is a number that divides the number without remainder.
The factors of 1907 are 1, 11, 173, and 1907.
Negative factors of 1907: -1, -11, -173, and -1907.
Prime factors of 1907: 11 and 173.
Prime factorization of 1907: 11 × 173.
The sum of factors of 1907: 1 + 11 + 173 + 1907 = 2092
How to Find Factors of 1907?
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 1907. Identifying the numbers which are multiplied to get the number 1907 is the multiplication method.
Step 1: Multiply 1907 by 1, 1907 × 1 = 1907.
Step 2: Check for other numbers that give 1907 after multiplying 11 × 173 = 1907
Therefore, the positive factor pairs of 1907 are: (1, 1907) and (11, 173). All these factor pairs result in 1907. 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 as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1907 by 1, 1907 ÷ 1 = 1907.
Step 2: Continue dividing 1907 by the numbers until the remainder becomes 0.
1907 ÷ 1 = 1907
1907 ÷ 11 = 173
1907 ÷ 173 = 11
1907 ÷ 1907 = 1
Therefore, the factors of 1907 are: 1, 11, 173, and 1907.
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 1907 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1907 ÷ 11 = 173
173 ÷ 173 = 1
The prime factors of 1907 are 11 and 173.
The prime factorization of 1907 is: 11 × 173.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1907 is divided by 11 to get 173.
Step 2: Now, 173 is a prime number and cannot be divided further. So, the prime factorization of 1907 is: 11 × 173.
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 1907: (1, 1907) and (11, 173).
Negative factor pairs of 1907: (-1, -1907) and (-11, -173).
Common Mistakes and How to Avoid Them in Factors of 1907
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 1907, 1 and 1907 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 1907 consist of -1, -11, 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 1907/1.5 ≈ 1271.33, 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 1907 are prime numbers. While 11 and 173 are the prime factors of 1907, it also has other factors like 1 and 1907.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1907 as 11 × 173 and missing key factors.
Factors of 1907 Examples
Problem 1
There are 11 teams and 1907 points. How will they distribute the points equally?
They will get 173 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1907/11 = 173
Problem 2
A rectangular canvas is 173 cm wide, and the total area is 1907 square cm. Find the length.
11 cm.
Explanation
To find the length of the canvas, we can use the formula, Area = length × width
1907 = length × 173
To find the value of length, divide the area by the width.
1907/173 = length
Length = 11.
Problem 3
There are 173 baskets and 1907 apples. How many apples will be in each basket?
Each basket will have 11 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
1907/173 = 11
Problem 4
In a concert, there are 1907 attendees, and 173 rows of seats. How many attendees are there in each row?
There are 11 attendees in each row.
Explanation
Dividing the attendees by the total number of rows, we will get the number of attendees in each row.
1907/173 = 11
Problem 5
1907 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 173 books.
Explanation
Divide total books by shelves.
1907/11 = 173
FAQs on Factors of 1907
1.What are the factors of 1907?
2.Mention the prime factors of 1907.
3.Is 1907 a multiple of 11?
4.Mention the factor pairs of 1907?
5.What is the square of 1907?
6.How can children in Canada use numbers in everyday life to understand Factors of 1907?
7.What are some fun ways kids in Canada can practice Factors of 1907 with numbers?
8.What role do numbers and Factors of 1907 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1907 skills?
Important Glossaries for Factors of 1907
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1907 are 1, 11, 173, and 1907.
- Prime factors: The factors which are prime numbers. For example, 11 and 173 are prime factors of 1907.
- 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 1907 are (1, 1907) and (11, 173).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1907 is 11 × 173.
- Multiple: A number that can be divided by another number without a remainder. For example, 1907 is a multiple of 11.
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About BrightChamps in Canada
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.
