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 708, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 708 evenly are known as factors of 708.
A factor of 708 is a number that divides the number without remainder. The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, and 708.
Negative factors of 708: -1, -2, -3, -4, -6, -12, -59, -118, -177, -236, -354, and -708.
Prime factors of 708: 2, 3, and 59.
Prime factorization of 708: 2 × 3 × 59
The sum of factors of 708: 1 + 2 + 3 + 4 + 6 + 12 + 59 + 118 + 177 + 236 + 354 + 708 = 1680
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 multiply to give 708. Identifying the numbers which are multiplied to get the number 708 is the multiplication method.
Step 1: Multiply 708 by 1, 708 × 1 = 708.
Step 2: Check for other numbers that give 708 after multiplying
2 × 354 = 708
3 × 236 = 708
4 × 177 = 708
6 × 118 = 708
12 × 59 = 708
Therefore, the positive factor pairs of 708 are: (1, 708), (2, 354), (3, 236), (4, 177), (6, 118), (12, 59).
All these factor pairs result in 708.
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 that result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 708 by 1, 708 ÷ 1 = 708.
Step 2: Continue dividing 708 by the numbers until the remainder becomes 0.
708 ÷ 1 = 708
708 ÷ 2 = 354
708 ÷ 3 = 236
708 ÷ 4 = 177
708 ÷ 6 = 118
708 ÷ 12 = 59
Therefore, the factors of 708 are: 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708.
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 708 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
708 ÷ 2 = 354
354 ÷ 2 = 177
177 ÷ 3 = 59
59 ÷ 59 = 1
The prime factors of 708 are 2, 3, and 59.
The prime factorization of 708 is: 2 × 3 × 59.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 708 is divided by 2 to get 354.
Step 2: Now divide 354 by 2 to get 177. Step 3: Then divide 177 by 3 to get 59.
Here, 59 is a prime number, which cannot be divided anymore.
So, the prime factorization of 708 is: 2 × 3 × 59.
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 708: (1, 708), (2, 354), (3, 236), (4, 177), (6, 118), and (12, 59).
Negative factor pairs of 708: (-1, -708), (-2, -354), (-3, -236), (-4, -177), (-6, -118), and (-12, -59).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
There are 6 tables and 708 chairs. How will they arrange them equally?
They will place 118 chairs at each table.
To arrange the chairs equally, we need to divide the total chairs by the number of tables.
708/6 = 118
A parking lot is rectangular, the length of the lot is 59 meters and the total area is 708 square meters. Find the width?
12 meters.
To find the width of the parking lot, we use the formula,
Area = length × width
708 = 59 × width
To find the value of width, we need to shift 59 to the left side.
708/59 = width
Width = 12.
There are 4 teams and 708 players. How many players will be in each team?
Each team will have 177 players.
To find the players in each team, divide the total players by the number of teams.
708/4 = 177
In a contest, there are 708 candies, and 12 children. How many candies do each child get?
Each child gets 59 candies.
Dividing the candies by the total number of children, we will get the number of candies each child gets.
708/12 = 59
708 books need to be distributed among 3 libraries. How many books will go to each library?
Each library receives 236 books.
Divide total books by libraries.
708/3 = 236
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.