101 LearnersLast updated on May 26th, 2025
Factors of 1655
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 1655, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1655?
The numbers that divide 1655 evenly are known as factors of 1655. A factor of 1655 is a number that divides the number without a remainder. The factors of 1655 are 1, 5, 331, and 1655. Negative factors of 1655: -1, -5, -331, and -1655. Prime factors of 1655: 5 and 331. Prime factorization of 1655: 5 × 331. The sum of factors of 1655: 1 + 5 + 331 + 1655 = 1992
How to Find Factors of 1655?
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 1655. Identifying the numbers which are multiplied to get the number 1655 is the multiplication method. Step 1: Multiply 1655 by 1, 1655 × 1 = 1655. Step 2: Check for other numbers that give 1655 after multiplying 5 × 331 = 1655 Therefore, the positive factor pairs of 1655 are: (1, 1655) and (5, 331). All these factor pairs result in 1655. 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 in whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 1655 by 1, 1655 ÷ 1 = 1655. Step 2: Continue dividing 1655 by the numbers until the remainder becomes 0. 1655 ÷ 1 = 1655 1655 ÷ 5 = 331 Therefore, the factors of 1655 are: 1, 5, 331, 1655.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1655 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1655 ÷ 5 = 331 331 ÷ 331 = 1 The prime factors of 1655 are 5 and 331. The prime factorization of 1655 is: 5 × 331.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1655 is divided by 5 to get 331. Step 2: Now divide 331 by 331 to get 1. Here, 331 is a prime number, that cannot be divided anymore. So, the prime factorization of 1655 is: 5 × 331. 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 1655: (1, 1655) and (5, 331). Negative factor pairs of 1655: (-1, -1655) and (-5, -331).
Common Mistakes and How to Avoid Them in Factors of 1655
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
People 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 1655, 1 and 1655 are also factors.
Factors of 1655 Examples
Problem 1
A team of 5 people needs to distribute 1655 flyers equally. How many flyers will each person get?
Each person will get 331 flyers.
Explanation
To divide the flyers equally, we need to divide the total flyers by the number of people. 1655/5 = 331
Problem 2
A rectangular garden has a length of 5 meters, and the total area is 1655 square meters. Find the width.
331 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1655 = 5 × width To find the value of width, we need to shift 5 to the left side. 1655/5 = width Width = 331.
Problem 3
A bakery has 1655 pastries and 331 boxes. How many pastries will be in each box?
Each box will have 5 pastries.
Explanation
To find the pastries in each box, divide the total pastries by the boxes. 1655/331 = 5
Problem 4
A class has 1655 students and 5 groups. How many students are there in each group?
There are 331 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group. 1655/5 = 331
Problem 5
1655 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 331 books.
Explanation
Divide total books by shelves. 1655/5 = 331
FAQs on Factors of 1655
1.What are the factors of 1655?
2.Mention the prime factors of 1655.
3.Is 1655 a multiple of 331?
4.Mention the factor pairs of 1655?
5.What is the square of 1655?
Important Glossaries for Factor of 1655
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1655 are 1, 5, 331, and 1655. Prime factors: The factors which are prime numbers. For example, 5 and 331 are prime factors of 1655. 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 1655 are (1, 1655) and (5, 331). Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1655 is 5 × 331. Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method for 1655 gives pairs like (5, 331).
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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.
