Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
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 company is distributing 703 flyers evenly across 19 locations. How many flyers will each location receive?
Each location will receive 37 flyers.
To distribute the flyers equally, divide the total flyers by the number of locations.
703/19 = 37
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.
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.
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.
To find the number of seats in each row, divide the total seats by the number of rows.
703/37 = 19
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.
Dividing the participants by the total groups, we will get the number of participants in each group.
703/37 = 19
703 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each shelf will have 37 books.
Divide total books by shelves.
703/19 = 37
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.