101 LearnersLast updated on May 26th, 2025
Factors of 665
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 665, how they are used in real life, and tips to learn them quickly.
What are the Factors of 665?
The numbers that divide 665 evenly are known as factors of 665.
A factor of 665 is a number that divides the number without remainder.
The factors of 665 are 1, 5, 7, 95, 133, and 665.
Negative factors of 665: -1, -5, -7, -95, -133, and -665.
Prime factors of 665: 5 and 7.
Prime factorization of 665: 5 × 7 × 19.
The sum of factors of 665: 1 + 5 + 7 + 19 + 35 + 95 + 133 + 665 = 960
How to Find Factors of 665?
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 are multiplied to give 665. Identifying the numbers which are multiplied to get the number 665 is the multiplication method.
Step 1: Multiply 665 by 1, 665 × 1 = 665.
Step 2: Check for other numbers that give 665 after multiplying
5 × 133 = 665
7 × 95 = 665
Therefore, the positive factor pairs of 665 are: (1, 665), (5, 133), and (7, 95).
All these factor pairs result in 665. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 665 by 1, 665 ÷ 1 = 665.
Step 2: Continue dividing 665 by numbers until the remainder becomes 0.
665 ÷ 1 = 665
665 ÷ 5 = 133
665 ÷ 7 = 95
Therefore, the factors of 665 are: 1, 5, 7, 95, 133, 665.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 665 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
665 ÷ 5 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
The prime factors of 665 are 5, 7, and 19.
The prime factorization of 665 is: 5 × 7 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 665 is divided by 5 to get 133.
Step 2: Now divide 133 by 7 to get 19. Here, 19 is a prime number, that cannot be divided anymore. So, the prime factorization of 665 is: 5 × 7 × 19.
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 665: (1, 665), (5, 133), (7, 95).
Negative factor pairs of 665: (-1, -665), (-5, -133), (-7, -95).
Common Mistakes and How to Avoid Them in Factors of 665
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 665, 1 and 665 are also factors.
Factors of 665 Examples
Problem 1
There are 19 students and 665 pages to be divided among them. How many pages will each student get?
Each student will get 35 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students. 665/19 = 35
Problem 2
A garden is rectangular, the length of the garden is 7 meters, and the total area is 665 square meters. Find the width.
95 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 665 = 7 × width To find the value of width, we need to shift 7 to the left side. 665/7 = width Width = 95.
Problem 3
There are 5 crates and 665 apples. How many apples will be in each crate?
Each crate will have 133 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates. 665/5 = 133
Problem 4
In a choir, there are 665 singers, and 95 groups. How many singers are there in each group?
There are 7 singers in each group.
Explanation
Dividing the singers by the total groups, we will get the number of singers in each group. 665/95 = 7
Problem 5
665 marbles need to be arranged in 5 boxes. How many marbles will go in each box?
Each of the boxes has 133 marbles.
Explanation
Divide total marbles by boxes. 665/5 = 133
FAQs on Factors of 665
1.What are the factors of 665?
2.Mention the prime factors of 665.
3.Is 665 a multiple of 7?
4.Mention the factor pairs of 665?
5.What is the square of 665?
Important Glossaries for Factor of 665
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 665 are 1, 5, 7, 95, 133, and 665.
- Prime factors: The factors which are prime numbers. For example, 5, 7, and 19 are prime factors of 665.
- 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 665 are (1, 665), (5, 133), and (7, 95).
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 665 is 5 × 7 × 19.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 665 is a multiple of 5.
Explore More numbers
Previous to Factors of 665
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.
