Last updated on June 2nd, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
Since 3907 is a prime number, its only multiplication factor pair is 1 and itself.
Therefore, the only factor pair is (1, 3907).
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.
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.
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.
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the coins equally, we need to divide the total coins by the number of pirates.
3907/1 = 3907
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.
Since 3907 is a prime number, it cannot be divided evenly by any number other than 1 and 3907 itself.
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.
To find the number of groups, divide the total samples by the number per group.
3907/1 = 3907
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.
Dividing the total pages by the pages read per day gives the total reading days.
3907/1 = 3907
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.
: She loves to read number jokes and games.