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 1046, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1046 evenly are known as factors of 1046.
A factor of 1046 is a number that divides the number without remainder.
The factors of 1046 are 1, 2, 523, and 1046.
Negative factors of 1046: -1, -2, -523, and -1046.
Prime factors of 1046: 2 and 523.
Prime factorization of 1046: 2 × 523.
The sum of factors of 1046: 1 + 2 + 523 + 1046 = 1572
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1046. Identifying the numbers which are multiplied to get the number 1046 is the multiplication method.
Step 1: Multiply 1046 by 1, 1046 × 1 = 1046.
Step 2: Check for other numbers that give 1046 after multiplying
2 × 523 = 1046
Therefore, the positive factor pairs of 1046 are: (1, 1046) and (2, 523). All these factor pairs result in 1046. 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 1046 by 1, 1046 ÷ 1 = 1046.
Step 2: Continue dividing 1046 by the numbers until the remainder becomes 0.
1046 ÷ 1 = 1046
1046 ÷ 2 = 523
Therefore, the factors of 1046 are: 1, 2, 523, and 1046.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1046 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1046 ÷ 2 = 523
523 is already a prime number, so it cannot be divided further.
The prime factors of 1046 are 2 and 523.
The prime factorization of 1046 is: 2 × 523.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1046 is divided by 2 to get 523.
Step 2: Since 523 is a prime number, it cannot be divided further.
So, the prime factorization of 1046 is: 2 × 523.
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 1046: (1, 1046) and (2, 523).
Negative factor pairs of 1046: (-1, -1046) and (-2, -523).
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 2 teams and 1046 apples. How will they divide it equally?
They will get 523 apples each.
To divide the apples equally, we need to divide the total apples by the number of teams.
1046/2 = 523
A rectangular garden has a width of 2 meters and a total area of 1046 square meters. Find the length.
523 meters.
To find the length of the garden, we use the formula,
Area = length × width
1046 = length × 2
To find the value of length, we need to shift 2 to the left side.
1046/2 = length
Length = 523.
There are 523 gift bags and 1046 chocolates. How many chocolates will be in each bag?
Each bag will have 2 chocolates.
To find the chocolates in each bag, divide the total chocolates by the bags.
1046/523 = 2
In a class, there are 1046 students and 2 groups. How many students are there in each group?
There are 523 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1046/2 = 523
1046 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 523 books.
Divide total books by shelves.
1046/2 = 523
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.