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 1643, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1643 evenly are known as factors of 1643. A factor of 1643 is a number that divides the number without remainder. The factors of 1643 are 1, 29, 57, and 1643. Negative factors of 1643: -1, -29, -57, and -1643. Prime factors of 1643: 29 and 57. Prime factorization of 1643: 29 × 57. The sum of factors of 1643: 1 + 29 + 57 + 1643 = 1730.
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 1643. Identifying the numbers which are multiplied to get the number 1643 is the multiplication method. Step 1: Multiply 1643 by 1, 1643 × 1 = 1643. Step 2: Check for other numbers that give 1643 after multiplying 29 × 57 = 1643 Therefore, the positive factor pairs of 1643 are: (1, 1643) and (29, 57). All these factor pairs result in 1643. 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 the simple division method - Step 1: Divide 1643 by 1, 1643 ÷ 1 = 1643. Step 2: Continue dividing 1643 by the numbers until the remainder becomes 0. 1643 ÷ 1 = 1643 1643 ÷ 29 = 57 Therefore, the factors of 1643 are: 1, 29, 57, and 1643.
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 1643 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1643 ÷ 29 = 57 57 ÷ 57 = 1 The prime factors of 1643 are 29 and 57. The prime factorization of 1643 is: 29 × 57.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1643 is divided by 29 to get 57. Step 2: Now divide 57 by 57 to get 1. Here, 57 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1643 is: 29 × 57. 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 1643: (1, 1643), (29, 57). Negative factor pairs of 1643: (-1, -1643), (-29, -57).
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 29 participants and 1643 tokens. How will they divide it equally?
They will get 57 tokens each.
To divide the tokens equally, we need to divide the total tokens by the number of participants. 1643/29 = 57
A board is rectangular, the length of the board is 29 meters and the total area is 1643 square meters. Find the width?
57 meters.
To find the width of the board, we use the formula, Area = length × width 1643 = 29 × width To find the value of width, we need to shift 29 to the left side. 1643/29 = width Width = 57.
There are 57 baskets and 1643 apples. How many apples will be in each basket?
Each basket will have 29 apples.
To find the apples in each basket, divide the total apples by the number of baskets. 1643/57 = 29
In a conference, there are 1643 attendees, and 29 groups. How many attendees are there in each group?
There are 57 attendees in each group.
Dividing the attendees by the total groups, we will get the number of attendees in each group. 1643/29 = 57
1643 files need to be organized in 29 folders. How many files will go in each folder?
Each of the folders has 57 files.
Divide total files by folders. 1643/29 = 57
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1643 are 1, 29, 57, and 1643. Prime factors: The factors which are prime numbers. For example, 29 and 57 are prime factors of 1643. 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 1643 are (1, 1643) and (29, 57). Prime factorization: Writing a number as a product of its prime factors. For example, the prime factorization of 1643 is 29 × 57. Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -29, -57, and -1643 are negative factors of 1643.
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.