101 LearnersLast updated on May 26th, 2025
Factors of 1661
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 1661, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1661?
The numbers that divide 1661 evenly are known as factors of 1661. A factor of 1661 is a number that divides the number without a remainder. The factors of 1661 are 1, 37, 43, and 1661. Negative factors of 1661: -1, -37, -43, and -1661. Prime factors of 1661: 37 and 43. Prime factorization of 1661: 37 × 43. The sum of factors of 1661: 1 + 37 + 43 + 1661 = 1742
How to Find Factors of 1661?
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 1661. Identifying the numbers that are multiplied to get the number 1661 is the multiplication method. Step 1: Multiply 1661 by 1, 1661 × 1 = 1661. Step 2: Check for other numbers that give 1661 after multiplying 37 × 43 = 1661 Therefore, the positive factor pairs of 1661 are: (1, 1661) and (37, 43). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 1661 by 1, 1661 ÷ 1 = 1661. Step 2: Continue dividing 1661 by the numbers until the remainder becomes 0. 1661 ÷ 1 = 1661 1661 ÷ 37 = 43 1661 ÷ 43 = 37 Therefore, the factors of 1661 are: 1, 37, 43, 1661.
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 1661 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1661 ÷ 37 = 43 43 ÷ 43 = 1 The prime factors of 1661 are 37 and 43. The prime factorization of 1661 is: 37 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show - Step 1: Firstly, 1661 is divided by 37 to get 43. Step 2: Now divide 43 by 43 to get 1. Here, 37 and 43 are the smallest prime numbers that cannot be divided anymore. So, the prime factorization of 1661 is: 37 × 43. 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 1661: (1, 1661) and (37, 43). Negative factor pairs of 1661: (-1, -1661) and (-37, -43).
Common Mistakes and How to Avoid Them in Factors of 1661
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 factors for every number. Always remember to include 1 and the number itself. For example, in factors of 1661, 1 and 1661 are also factors.
Factors of 1661 Examples
Problem 1
There are 1661 apples and 37 baskets. How will they distribute the apples equally?
They will get 43 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of baskets. 1661/37 = 43
Problem 2
A rectangular garden has a length of 43 meters and a total area of 1661 square meters. Find the width?
37 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1661 = 43 × width To find the value of width, we need to shift 43 to the left side. 1661/43 = width Width = 37.
Problem 3
There are 1661 chocolates and 43 gift boxes. How many chocolates will be in each box?
Each box will have 37 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the number of boxes. 1661/43 = 37
Problem 4
In a library, there are 1661 books, and 37 shelves. How many books are there on each shelf?
There are 43 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf. 1661/37 = 43
Problem 5
1661 balloons need to be arranged in 37 bunches. How many balloons will go in each bunch?
Each bunch has 43 balloons.
Explanation
Divide total balloons by the number of bunches. 1661/37 = 43
FAQs on Factors of 1661
1.What are the factors of 1661?
2.Mention the prime factors of 1661.
3.Is 1661 a multiple of 37?
4.Mention the factor pairs of 1661?
5.What is the square of 1661?
Important Glossaries for Factor of 1661
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1661 are 1, 37, 43, and 1661. Prime factors: The factors which are prime numbers. For example, 37 and 43 are prime factors of 1661. 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 1661 are (1, 1661) and (37, 43). Prime factorization: The process of expressing a number as the product of its prime factors. For 1661, it is 37 × 43. Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the number. For 1661, the pairs are (1, 1661) and (37, 43).
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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.
