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Last updated on May 26th, 2025

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Factors of 1907

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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.

Factors of 1907 for Canadian Students
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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

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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
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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.

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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 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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 1907 Examples

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Problem 1

There are 11 teams and 1907 points. How will they distribute the points equally?

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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

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Problem 2

A rectangular canvas is 173 cm wide, and the total area is 1907 square cm. Find the length.

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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.

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Problem 3

There are 173 baskets and 1907 apples. How many apples will be in each basket?

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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

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Problem 4

In a concert, there are 1907 attendees, and 173 rows of seats. How many attendees are there in each row?

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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

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Problem 5

1907 books need to be arranged in 11 shelves. How many books will go on each shelf?

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Each of the shelves has 173 books.

Explanation

Divide total books by shelves.

1907/11 = 173

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FAQs on Factors of 1907

1.What are the factors of 1907?

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2.Mention the prime factors of 1907.

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3.Is 1907 a multiple of 11?

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4.Mention the factor pairs of 1907?

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5.What is the square of 1907?

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6.How can children in Canada use numbers in everyday life to understand Factors of 1907?

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7.What are some fun ways kids in Canada can practice Factors of 1907 with numbers?

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8.What role do numbers and Factors of 1907 play in helping children in Canada develop problem-solving skills?

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9.How can families in Canada create number-rich environments to improve Factors of 1907 skills?

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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

At BrightChamps, numbers are more than just symbols—they’re keys to many possibilities! We aim to help kids across Canada develop important math skills, with today’s focus on Factors of 1907, highlighting factors in a lively, fun, and accessible way. Whether your child is calculating the speed of a ride at Canada’s Wonderland, keeping track of hockey scores, or budgeting their allowance to buy gadgets, mastering numbers boosts their everyday confidence. Our engaging lessons make learning both fun and easy. Since kids in Canada learn differently, we adapt our teaching to each child’s style. From Toronto’s bustling streets to British Columbia’s scenic views, BrightChamps brings math to life across Canada. Let’s make factors a fun part of every child’s learning experience!
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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.

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Fun Fact

: She loves to read number jokes and games.

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