117 LearnersLast updated on May 26th, 2025
Factors of 704
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 704, how they are used in real life, and tips to learn them quickly.
What are the Factors of 704?
The numbers that divide 704 evenly are known as factors of 704.
A factor of 704 is a number that divides the number without remainder.
The factors of 704 are 1, 2, 4, 8, 16, 32, 44, 88, 176, 352, and 704.
Negative factors of 704: -1, -2, -4, -8, -16, -32, -44, -88, -176, -352, and -704.
Prime factors of 704: 2 and 11.
Prime factorization of 704: 26 × 11.
The sum of factors of 704: 1 + 2 + 4 + 8 + 16 + 32 + 44 + 88 + 176 + 352 + 704 = 1427
How to Find Factors of 704?
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 704. Identifying the numbers which are multiplied to get the number 704 is the multiplication method.
Step 1: Multiply 704 by 1, 704 × 1 = 704.
Step 2: Check for other numbers that give 704 after multiplying
2 × 352 = 704
4 × 176 = 704
8 × 88 = 704
16 × 44 = 704
Therefore, the positive factor pairs of 704 are: (1, 704), (2, 352), (4, 176), (8, 88), (16, 44).
All these factor pairs result in 704.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 704 by 1, 704 ÷ 1 = 704.
Step 2: Continue dividing 704 by the numbers until the remainder becomes 0.
704 ÷ 1 = 704
704 ÷ 2 = 352
704 ÷ 4 = 176
704 ÷ 8 = 88
704 ÷ 16 = 44
Therefore, the factors of 704 are: 1, 2, 4, 8, 16, 32, 44, 88, 176, 352, 704.
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 704 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
704 ÷ 2 = 352
352 ÷ 2 = 176
176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
The prime factors of 704 are 2 and 11.
The prime factorization of 704 is: 2^6 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 704 is divided by 2 to get 352.
Step 2: Now divide 352 by 2 to get 176.
Step 3: Then divide 176 by 2 to get 88.
Step 4: Divide 88 by 2 to get 44.
Step 5: Divide 44 by 2 to get 22.
Step 6: Divide 22 by 2 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 704 is: 26 × 11.
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 704: (1, 704), (2, 352), (4, 176), (8, 88), and (16, 44).
Negative factor pairs of 704: (-1, -704), (-2, -352), (-4, -176), (-8, -88), and (-16, -44).
Common Mistakes and How to Avoid Them in Factors of 704
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
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 704, 1 and 704 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 704 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 3.5 as a factor, because 704/3.5 = 201.1428, 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 704 are prime numbers.
For example, 2 and 11 are the prime factors of 704, but it has other factors like 4, 88.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 704 as 26 × 11 and missing all the key factors.
Factors of 704 Examples
Problem 1
There are 8 friends and 704 stickers. How will they divide it equally?
They will get 88 stickers each.
Explanation
To divide the stickers equally, we need to divide the total stickers with the number of friends.
704/8 = 88
Problem 2
A rectangular plot has a length of 44 meters and a total area of 704 square meters. Find the width?
16 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
704 = 44 × width
To find the value of width, we need to shift 44 to the left side.
704/44 = width
Width = 16.
Problem 3
There are 16 baskets and 704 apples. How many apples will be in each basket?
Each basket will have 44 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
704/16 = 44
Problem 4
In a classroom, there are 704 students, and 11 groups. How many students are there in each group?
There are 64 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
704/11 = 64
Problem 5
704 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has 88 books.
Explanation
Divide total books with shelves.
704/8 = 88
FAQs on Factors of 704
1.What are the factors of 704?
2.Mention the prime factors of 704.
3.Is 704 a multiple of 4?
4.Mention the factor pairs of 704?
5.What is the square of 704?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 704?
7.What are some fun ways kids in Indonesia can practice Factors of 704 with numbers?
8.What role do numbers and Factors of 704 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 704 skills?
Important Glossaries for Factor of 704
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 704 are 1, 2, 4, 8, 16, 32, 44, 88, 176, 352, and 704.
- Prime factors: The factors which are prime numbers. For example, 2 and 11 are prime factors of 704.
- 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 704 are (1, 704), (2, 352), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 704 is 26 × 11.
- Negative factors: Factors of a number that are negative. For example, -1, -2, -4 are negative factors of 704.
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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.
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