111 LearnersLast updated on May 26th, 2025
Factors of 907
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 907, how they are used in real life, and tips to learn them quickly.
What are the Factors of 907?
The numbers that divide 907 evenly are known as factors of 907. A factor of 907 is a number that divides the number without remainder. The factors of 907 are 1 and 907.
Negative factors of 907: -1 and -907.
Prime factors of 907: 907 (since 907 is a prime number).
Prime factorization of 907: 907.
The sum of factors of 907: 1 + 907 = 908
How to Find Factors of 907?
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 907. Since 907 is a prime number, the multiplication method only includes multiplying by 1 and the number itself.
Step 1: Multiply 907 by 1, 907 × 1 = 907.
Therefore, the positive factor pairs of 907 are: (1, 907). 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 a whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 907 by 1, 907 ÷ 1 = 907.
Step 2: Check if 907 is divisible by any number other than 1 and itself without a remainder.
Since 907 is a prime number, it is not divisible by any other number. Therefore, the factors of 907 are: 1 and 907.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. Since 907 is a prime number itself, it cannot be broken down further into other prime factors. Prime factorization of 907 is: 907, as it cannot be divided by any other prime number.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 907 is a prime number, it cannot be broken down using a factor tree. The prime factorization of 907 is: 907.
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 907: (1, 907).
- Negative factor pairs of 907: (-1, -907).
Common Mistakes and How to Avoid Them in Factors of 907
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 907, 1 and 907 are factors.
Factors of 907 Examples
Problem 1
A community has 907 members and wants to arrange them into a single line. How many lines will they form?
They will form 1 line of 907 members.
Explanation
Since the community wants a single line, the total number of members is 907, so they form 1 line of 907 members.
Problem 2
A concert hall has 907 seats and needs to arrange them in one row. How many seats will be in each row?
907 seats.
Explanation
To arrange all the seats in one row, the number of seats in the row will be 907.
907/1 = 907
Problem 3
A library has 907 books and wants to organize them into one large stack. How tall will the stack be?
The stack will have 907 books.
Explanation
If the library organizes them into one stack, all 907 books will be in that stack.
907/1 = 907
Problem 4
A garden has 907 plants and plans to plant them in a single bed. How many plants will be in the bed?
907 plants.
Explanation
All 907 plants will be planted in the single bed.
907/1 = 907
Problem 5
An auditorium has 907 seats and wants to fill them completely with people. How many people are needed?
907 people.
Explanation
To fill all the seats, 907 people are needed.
907/1 = 907
FAQs on Factors of 907
1.What are the factors of 907?
2.Mention the prime factors of 907.
3.Is 907 a prime number?
4.Mention the factor pairs of 907?
5.What is the square of 907?
Important Glossaries for Factors of 907
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 907 are 1 and 907.
- Prime factors: The factors which are prime numbers. For example, 907 is a prime factor of itself.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 907 is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 907 is (1, 907).
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 907 are -1 and -907.
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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.
