Last updated on May 26th, 2025
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 1642, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1642 evenly are known as factors of 1642. A factor of 1642 is a number that divides the number without a remainder. The factors of 1642 are 1, 2, 821, and 1642. Negative factors of 1642: -1, -2, -821, and -1642. Prime factors of 1642: 2 and 821. Prime factorization of 1642: 2 × 821. The sum of factors of 1642: 1 + 2 + 821 + 1642 = 2466
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 1642. Identifying the numbers which are multiplied to get the number 1642 is the multiplication method. Step 1: Multiply 1642 by 1, 1642 × 1 = 1642. Step 2: Check for other numbers that give 1642 after multiplying 2 × 821 = 1642 Therefore, the positive factor pairs of 1642 are: (1, 1642) and (2, 821). All these factor pairs result in 1642. For every positive factor, there is a negative factor.
Dividing the given numbers with 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 1642 by 1, 1642 ÷ 1 = 1642. Step 2: Continue dividing 1642 by the numbers until the remainder becomes 0. 1642 ÷ 1 = 1642 1642 ÷ 2 = 821 Therefore, the factors of 1642 are: 1, 2, 821, and 1642.
The factors can be found by dividing 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 1642 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1642 ÷ 2 = 821 821 is a prime number and cannot be divided further. The prime factors of 1642 are 2 and 821. The prime factorization of 1642 is: 2 × 821.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1642 is divided by 2 to get 821. Step 2: 821 is a prime number and cannot be divided further. So, the prime factorization of 1642 is: 2 × 821. 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 1642: (1, 1642) and (2, 821). Negative factor pairs of 1642: (-1, -1642) and (-2, -821).
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 4 families and 1642 apples. How will they divide them equally?
They will get 410.5 apples each.
To divide the apples equally, we need to divide the total apples with the number of families. 1642/4 = 410.5
A piece of land is rectangular, the length of the land is 2 meters and the total area is 1642 square meters. Find the width?
821 meters.
To find the width of the land, we use the formula, Area = length × width 1642 = 2 × width To find the value of width, we need to shift 2 to the left side. 1642/2 = width Width = 821.
There are 821 cards and 1642 envelopes. How many cards will go in each envelope?
Each envelope will have 0.5 cards.
To find the cards in each envelope, divide the total cards with the envelopes. 821/1642 = 0.5
In a company, there are 1642 employees and 2 teams. How many employees are there in each team?
There are 821 employees in each team.
Dividing the employees with the total teams, we will get the number of employees in each team. 1642/2 = 821
1642 packages need to be arranged in 821 boxes. How many packages will go in each box?
Each of the boxes has 2 packages.
Divide total packages with boxes. 1642/821 = 2
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1642 are 1, 2, 821, and 1642. Prime factors: The factors which are prime numbers. For example, 2 and 821 are prime factors of 1642. 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 1642 are (1, 1642) and (2, 821). Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1642 is 2 × 821. Multiplication method: A technique for identifying factor pairs by multiplying numbers to achieve the target number, such as finding pairs for 1642.
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.