115 LearnersLast updated on June 2nd, 2025
Factors of 3907
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 3907, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 3907?
The numbers that divide 3907 evenly are known as factors of 3907.
A factor of 3907 is a number that divides the number without remainder.
The factors of 3907 are 1 and 3907.
Negative factors of 3907: -1 and -3907.
Prime factors of 3907: 3907 (since 3907 is a prime number).
The sum of factors of 3907: 1 + 3907 = 3908
How to Find Factors of 3907?
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
Since 3907 is a prime number, its only multiplication factor pair is 1 and itself.
Therefore, the only factor pair is (1, 3907).
Finding Factors Using Division Method
To determine the factors of 3907, divide the number by whole numbers and see if the remainder is zero.
Step 1: Divide 3907 by 1, 3907 ÷ 1 = 3907.
Step 2: Check for divisibility by numbers up to the square root of 3907.
3907 ÷ 1 = 3907 (no remainder)
3907 ÷ 3907 = 1 (no remainder)
Therefore, the factors of 3907 are: 1 and 3907.
Prime Factors and Prime Factorization
Since 3907 is a prime number, it does not have any prime factors other than itself. Therefore, there is no breakdown for prime factorization.
The prime factor of 3907 is 3907 itself.
Factor Tree
A factor tree is not applicable in this case because 3907 is a prime number and cannot be broken down further into other prime factors.
Common Mistakes and How to Avoid Them in Factors of 3907
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
People 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 3907, 1 and 3907 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 3907 include -1 and -3907.
Mistake 3
Including the Fraction
Sometimes fractions are mistakenly considered as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor is incorrect because 3907/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that while all prime numbers are factors of themselves, not all factors are prime numbers.
For example, 3907 is a prime number, and its only factors are 1 and itself.
Mistake 5
Mistake in Factorization
Since 3907 is a prime number, it cannot be broken down further. Avoid attempting to factorize it into smaller prime numbers.
Factors of 3907 Examples
Problem 1
A treasure chest contains 3907 gold coins and needs to be equally divided among 1 pirate. How many coins will each pirate get?
Each pirate will get 3907 coins.
Explanation
To divide the coins equally, we need to divide the total coins by the number of pirates.
3907/1 = 3907
Problem 2
A rare artifact weighs 3907 grams and needs to be split into two identical parts. Can this be done evenly?
No, it cannot be split evenly into two identical parts.
Explanation
Since 3907 is a prime number, it cannot be divided evenly by any number other than 1 and 3907 itself.
Problem 3
A scientist has 3907 samples and wants to distribute them into groups of 1. How many groups will there be?
There will be 3907 groups.
Explanation
To find the number of groups, divide the total samples by the number per group.
3907/1 = 3907
Problem 4
A unique book has 3907 pages, and a reader wants to read 1 page per day. How many days will it take to finish the book?
It will take 3907 days.
Explanation
Dividing the total pages by the pages read per day gives the total reading days.
3907/1 = 3907
FAQs on Factors of 3907
1.What are the factors of 3907?
2.Mention the prime factors of 3907.
3.Is 3907 a multiple of any number other than 1 and itself?
4.Can 3907 be evenly divided into smaller parts?
5.What is the square of 3907?
Important Glossaries for Factors of 3907
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3907 are 1 and 3907.
- Prime factors: A number that has no divisors other than 1 and itself. 3907 is a prime number.
- Prime number: A number greater than 1 that has no divisors other than 1 and itself.
- Division method: A method to find factors by dividing the number by whole numbers to find divisors.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For 3907, it is (1, 3907).
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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.
