Last updated on May 26th, 2025
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 1665, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1665 evenly are known as factors of 1665. A factor of 1665 is a number that divides the number without remainder. The factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, and 1665. Negative factors of 1665: -1, -3, -5, -9, -15, -37, -45, -111, -185, -333, -555, and -1665. Prime factors of 1665: 3, 5, and 37. Prime factorization of 1665: 3 × 5 × 37. The sum of factors of 1665: 1 + 3 + 5 + 9 + 15 + 37 + 45 + 111 + 185 + 333 + 555 + 1665 = 2964
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
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1665. Identifying the numbers which are multiplied to get the number 1665 is the multiplication method. Step 1: Multiply 1665 by 1, 1665 × 1 = 1665. Step 2: Check for other numbers that give 1665 after multiplying 3 × 555 = 1665 5 × 333 = 1665 9 × 185 = 1665 15 × 111 = 1665 37 × 45 = 1665 Therefore, the positive factor pairs of 1665 are: (1, 1665), (3, 555), (5, 333), (9, 185), (15, 111), (37, 45). All these factor pairs result in 1665. For every positive factor, there is a negative factor.
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 1665 by 1, 1665 ÷ 1 = 1665. Step 2: Continue dividing 1665 by the numbers until the remainder becomes 0. 1665 ÷ 1 = 1665 1665 ÷ 3 = 555 1665 ÷ 5 = 333 1665 ÷ 9 = 185 1665 ÷ 15 = 111 1665 ÷ 37 = 45 Therefore, the factors of 1665 are: 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665.
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 1665 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1665 ÷ 3 = 555 555 ÷ 3 = 185 185 ÷ 5 = 37 37 ÷ 37 = 1 The prime factors of 1665 are 3, 5, and 37. The prime factorization of 1665 is: 3 × 5 × 37.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1665 is divided by 3 to get 555. Step 2: Now divide 555 by 3 to get 185. Step 3: Then divide 185 by 5 to get 37. Here, 37 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1665 is: 3 × 5 × 37. 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 1665: (1, 1665), (3, 555), (5, 333), (9, 185), (15, 111), and (37, 45). Negative factor pairs of 1665: (-1, -1665), (-3, -555), (-5, -333), (-9, -185), (-15, -111), and (-37, -45).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 555 apples and 3 baskets. How will they divide it equally?
They will get 185 apples each.
To divide the apples equally, we need to divide the total apples by the number of baskets. 555/3 = 185
A garden is rectangular, the length of the garden is 15 meters and the total area is 1665 square meters. Find the width?
111 meters.
To find the width of the garden, we use the formula, Area = length × width 1665 = 15 × width To find the value of width, we need to shift 15 to the left side. 1665/15 = width Width = 111.
There are 45 chairs and 37 tables. How many chairs will be with each table?
Each table will have 1 chair.
To find the chairs with each table, divide the total chairs by the tables. 45/37 = 1 (approximate, assuming the context requires integer division)
In a class, there are 185 students, and 37 groups. How many students are there in each group?
There are 5 students in each group.
Dividing the students by the total groups, we will get the number of students in each group. 185/37 = 5
1665 seeds need to be arranged in 5 rows. How many seeds will go in each row?
Each row has 333 seeds.
Divide the total seeds by rows. 1665/5 = 333
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, and 1665. Prime factors: The factors which are prime numbers. For example, 3, 5, and 37 are prime factors of 1665. 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 1665 are (1, 1665), (3, 555), etc. Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1665 is 3 × 5 × 37. Division method: A technique to find factors by dividing the number with whole numbers until the remainder is zero, listing the divisors as factors.
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.
: She loves to read number jokes and games.