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Last updated on May 2nd, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 831, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 831 evenly are known as factors of 831. A factor of 831 is a number that divides the number without remainder. The factors of 831 are 1, 3, 277, and 831.
Negative factors of 831: -1, -3, -277, and -831.
Prime factors of 831: 3 and 277.
Prime factorization of 831: 3 × 277.
The sum of factors of 831: 1 + 3 + 277 + 831 = 1112
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 831. Identifying the numbers which are multiplied to get the number 831 is the multiplication method.
Step 1: Multiply 831 by 1, 831 × 1 = 831.
Step 2: Check for other numbers that give 831 after multiplying
3 × 277 = 831
Therefore, the positive factor pairs of 831 are: (1, 831) and (3, 277). All these factor pairs result in 831. 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 in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 831 by 1, 831 ÷ 1 = 831.
Step 2: Continue dividing 831 by the numbers until the remainder becomes 0.
831 ÷ 1 = 831
831 ÷ 3 = 277
Therefore, the factors of 831 are: 1, 3, 277, 831.
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 831 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
831 ÷ 3 = 277
277 ÷ 277 = 1
The prime factors of 831 are 3 and 277. The prime factorization of 831 is: 3 × 277.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 831 is divided by 3 to get 277.
Step 2: Now divide 277 by 277 to get 1. So, the prime factorization of 831 is: 3 × 277.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
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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.