126 LearnersLast updated on May 26th, 2025
Factors of 703
Factors are the numbers that divide any given number evenly without a 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 703, how they are used in real life, and tips to learn them quickly.
What are the Factors of 703?
The numbers that divide 703 evenly are known as factors of 703.
A factor of 703 is a number that divides the number without a remainder.
The factors of 703 are 1, 19, 37, and 703.
Negative factors of 703: -1, -19, -37, and -703.
Prime factors of 703: 19 and 37.
Prime factorization of 703: 19 × 37.
The sum of factors of 703: 1 + 19 + 37 + 703 = 760
How to Find Factors of 703?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 703. Identifying the numbers which are multiplied to get the number 703 is the multiplication method.
Step 1: Multiply 703 by 1, 703 × 1 = 703.
Step 2: Check for other numbers that give 703 after multiplying 19 × 37 = 703
Therefore, the positive factor pairs of 703 are: (1, 703) and (19, 37).
All these factor pairs result in 703. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 703 by 1, 703 ÷ 1 = 703.
Step 2: Continue dividing 703 by the numbers until the remainder becomes 0.
703 ÷ 1 = 703
703 ÷ 19 = 37
703 ÷ 37 = 19
Therefore, the factors of 703 are: 1, 19, 37, and 703.
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 703 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
703 ÷ 19 = 37
37 ÷ 37 = 1
The prime factors of 703 are 19 and 37.
The prime factorization of 703 is: 19 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 703 is divided by 19 to get 37.
Step 2: Now divide 37 by 37 to get 1. Here, 37 is a prime number and cannot be divided further. So, the prime factorization of 703 is: 19 × 37.
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 703: (1, 703) and (19, 37).
Negative factor pairs of 703: (-1, -703) and (-19, -37).
Common Mistakes and How to Avoid Them in Factors of 703
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 703, 1 and 703 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 703 consist of -1, -19, -37, etc.
Mistake 3
Including the Fraction
Sometimes fractions are mistakenly considered factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 703/1.5 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 703 are prime numbers.
For example, 19 and 37 are the prime factors of 703, but it also has factors like 1 and 703.
Mistake 5
Mistake in Factorization
Skipping steps in factorization can lead to wrong factors.
For example, not breaking 703 as 19 × 37 and missing all the key factors.
Factors of 703 Examples
Problem 1
A company is distributing 703 flyers evenly across 19 locations. How many flyers will each location receive?
Each location will receive 37 flyers.
Explanation
To distribute the flyers equally, divide the total flyers by the number of locations.
703/19 = 37
Problem 2
A garden is rectangular, the width of the garden is 19 meters and the total area is 703 square meters. Find the length.
37 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
703 = 19 × length
To find the value of length, divide 703 by 19.
703/19 = length
Length = 37.
Problem 3
A theater has 703 seats and plans to arrange them in 37 rows. How many seats will each row have?
Each row will have 19 seats.
Explanation
To find the number of seats in each row, divide the total seats by the number of rows.
703/37 = 19
Problem 4
In a conference, there are 703 participants and 37 groups. How many participants are there in each group?
There are 19 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
703/37 = 19
Problem 5
703 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each shelf will have 37 books.
Explanation
Divide total books by shelves.
703/19 = 37
FAQs on Factors of 703
1.What are the factors of 703?
2.Mention the prime factors of 703.
3.Is 703 a multiple of 19?
4.Mention the factor pairs of 703?
5.What is the square of 703?
Important Glossaries for Factor of 703
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 703 are 1, 19, 37, and 703.
- Prime factors: The factors which are prime numbers. For example, 19 and 37 are prime factors of 703.
- 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 703 are (1, 703) and (19, 37).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 703 is 19 × 37.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 703 is a multiple of 19.
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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.
