117 LearnersLast updated on May 26th, 2025
Factors of 708
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.
What are the Factors of 708?
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
How to Find Factors of 708?
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 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.
Finding Factors Using Division Method
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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 708
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 708, 1 and 708 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 708 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 708/1.5 = 472, and it 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 708 are prime numbers.
For example, 2, 3, and 59 are the prime factors of 708, but it has other factors like 4, 12.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 708 as 2 × 3 × 59 and missing all the key factors.
Factors of 708 Examples
Problem 1
There are 6 tables and 708 chairs. How will they arrange them equally?
They will place 118 chairs at each table.
Explanation
To arrange the chairs equally, we need to divide the total chairs by the number of tables.
708/6 = 118
Problem 2
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.
Explanation
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.
Problem 3
There are 4 teams and 708 players. How many players will be in each team?
Each team will have 177 players.
Explanation
To find the players in each team, divide the total players by the number of teams.
708/4 = 177
Problem 4
In a contest, there are 708 candies, and 12 children. How many candies do each child get?
Each child gets 59 candies.
Explanation
Dividing the candies by the total number of children, we will get the number of candies each child gets.
708/12 = 59
Problem 5
708 books need to be distributed among 3 libraries. How many books will go to each library?
Each library receives 236 books.
Explanation
Divide total books by libraries.
708/3 = 236
FAQs on Factors of 708
1.What are the factors of 708?
2.Mention the prime factors of 708.
3.Is 708 a multiple of 3?
4.Mention the factor pairs of 708?
5.What is the square of 708?
6.How can children in Qatar use numbers in everyday life to understand Factors of 708?
7.What are some fun ways kids in Qatar can practice Factors of 708 with numbers?
8.What role do numbers and Factors of 708 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 708 skills?
Important Glossaries for Factor of 708
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, and 708.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 59 are prime factors of 708.
- 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 708 are (1, 708), (2, 354), (3, 236), etc.
- Multiples: A multiple is a number that can be divided by another number without a remainder. For example, 708 is a multiple of 1, 2, 3, 4, 6, etc.
- Division method: A technique used to find factors by dividing the number successively by integers to see which result in whole numbers.
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About BrightChamps in Qatar
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.
