102 LearnersLast updated on May 26th, 2025
Factors of 664
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 664, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 664?
The numbers that divide 664 evenly are known as factors of 664.
A factor of 664 is a number that divides the number without remainder.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, and 664.
Negative factors of 664: -1, -2, -4, -8, -83, -166, -332, and -664.
Prime factors of 664: 2 and 83.
Prime factorization of 664: 2³ × 83.
The sum of factors of 664: 1 + 2 + 4 + 8 + 83 + 166 + 332 + 664 = 1260.
How to Find Factors of 664?
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 664. Identifying the numbers which are multiplied to get the number 664 is the multiplication method.
Step 1: Multiply 664 by 1, 664 × 1 = 664.
Step 2: Check for other numbers that give 664 after multiplying
2 × 332 = 664
4 × 166 = 664
8 × 83 = 664
Therefore, the positive factor pairs of 664 are: (1, 664), (2, 332), (4, 166), (8, 83). All these factor pairs result in 664.
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 664 by 1, 664 ÷ 1 = 664.
Step 2: Continue dividing 664 by the numbers until the remainder becomes 0.
664 ÷ 1 = 664
664 ÷ 2 = 332
664 ÷ 4 = 166
664 ÷ 8 = 83
Therefore, the factors of 664 are: 1, 2, 4, 8, 83, 166, 332, and 664.
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 664 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
664 ÷ 2 = 332
332 ÷ 2 = 166
166 ÷ 2 = 83
83 ÷ 83 = 1
The prime factors of 664 are 2 and 83.
The prime factorization of 664 is: 2³ × 83.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 664 is divided by 2 to get 332.
Step 2: Now divide 332 by 2 to get 166.
Step 3: Then divide 166 by 2 to get 83. Here, 83 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 664 is: 2³ × 83.
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 664: (1, 664), (2, 332), (4, 166), and (8, 83).
Negative factor pairs of 664: (-1, -664), (-2, -332), (-4, -166), and (-8, -83).
Common Mistakes and How to Avoid Them in Factors of 664
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 word. Always remember to include 1 and the number itself.
For example, in factors of 664, 1 and 664 are also factors.
Factors of 664 Examples
Problem 1
There are 4 teams and 664 apples. How will they divide them equally?
They will get 166 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
664/4 = 166
Problem 2
A plot is rectangular, the length of the plot is 8 meters and the total area is 664 square meters. Find the width?
83 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width 664 = 8 × width
To find the value of width, we need to shift 8 to the left side.
664/8 = width
Width = 83.
Problem 3
There are 83 baskets and 664 oranges. How many oranges will be in each basket?
Each basket will have 8 oranges.
Explanation
To find the oranges in each basket, divide the total oranges by the baskets.
664/83 = 8
Problem 4
In a conference, there are 664 participants, and 2 sessions. How many participants are there in each session?
There are 332 participants in each session.
Explanation
Dividing the participants by the total sessions, we will get the number of participants in each session. 664/2 = 332
Problem 5
664 chairs need to be arranged in 8 rows. How many chairs will go in each row?
Each of the rows has 83 chairs.
Explanation
Divide total chairs by rows. 664/8 = 83
FAQs on Factors of 664
1.What are the factors of 664?
2.Mention the prime factors of 664.
3.Is 664 a multiple of 4?
4.Mention the factor pairs of 664?
5.What is the square of 664?
Important Glossaries for Factor of 664
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 664 are 1, 2, 4, 8, 83, 166, 332, and 664.
- Prime factors: The factors which are prime numbers. For example, 2 and 83 are prime factors of 664.
- 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 664 are (1, 664), (2, 332), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 664, it is 2³ × 83.
- Multiple: A number that can be divided by another number without a remainder. For instance, 664 is a multiple of 4.
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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.
