Factors of 832

The numbers that divide 832 evenly are known as factors of 832. A factor of 832 is a number that divides the number without remainder. The factors of 832 are 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416, and 832.

Negative factors of 832: -1, -2, -4, -8, -16, -26, -32, -52, -104, -208, -416, and -832.

Prime factors of 832: 2 and 13.

Prime factorization of 832: 2⁶ × 13.

The sum of factors of 832: 1 + 2 + 4 + 8 + 16 + 26 + 32 + 52 + 104 + 208 + 416 + 832 = 1701

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 832. Identifying the numbers which are multiplied to get the number 832 is the multiplication method.

Step 1: Multiply 832 by 1, 832 × 1 = 832.

Step 2: Check for other numbers that give 832 after multiplying

2 × 416 = 832

4 × 208 = 832

8 × 104 = 832

16 × 52 = 832

26 × 32 = 832

Therefore, the positive factor pairs of 832 are: (1, 832), (2, 416), (4, 208), (8, 104), (16, 52), (26, 32). All these factor pairs result in 832. 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 a simple division method -

Step 1: Divide 832 by 1, 832 ÷ 1 = 832.

Step 2: Continue dividing 832 by the numbers until the remainder becomes 0.

832 ÷ 1 = 832

832 ÷ 2 = 416

832 ÷ 4 = 208

832 ÷ 8 = 104

832 ÷ 16 = 52

832 ÷ 26 = 32

Therefore, the factors of 832 are: 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416, 832.

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 832 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

832 ÷ 2 = 416

416 ÷ 2 = 208

208 ÷ 2 = 104

104 ÷ 2 = 52

52 ÷ 2 = 26

26 ÷ 2 = 13

13 ÷ 13 = 1

The prime factors of 832 are 2 and 13. The prime factorization of 832 is: 2⁶ × 13.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 832 is divided by 2 to get 416.

Step 2: Now divide 416 by 2 to get 208.

Step 3: Then divide 208 by 2 to get 104.

Step 4: Divide 104 by 2 to get 52.

Step 5: Divide 52 by 2 to get 26.

Step 6: Divide 26 by 2 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 832 is: 2^6 × 13.

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 832: (1, 832), (2, 416), (4, 208), (8, 104), (16, 52), (26, 32).

• Negative factor pairs of 832: (-1, -832), (-2, -416), (-4, -208), (-8, -104), (-16, -52), (-26, -32).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 832 are 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416, and 832.

• Prime factors: The factors which are prime numbers. For example, 2 and 13 are prime factors of 832.

• 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 832 are (1, 832), (2, 416), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 832 is 2⁶ × 13.

• Multiple: A number that can be divided by another number without a remainder. For example, 832 is a multiple of 4.