Factors of 831

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:

• 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 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
• Using factor tree

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.

• Positive factor pairs of 831: (1, 831) and (3, 277).

• Negative factor pairs of 831: (-1, -831) and (-3, -277).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 831 are 1, 3, 277, and 831.

• Prime factors: The factors which are prime numbers. For example, 3 and 277 are prime factors of 831.

• 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 831 are (1, 831) and (3, 277).

• Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 831 is 3 × 277.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number, such as finding that 3 × 277 equals 831.