Factors of 1164

The numbers that divide 1164 evenly are known as factors of 1164. A factor of 1164 is a number that divides the number without a remainder. The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164.

Negative factors of 1164: -1, -2, -3, -4, -6, -12, -97, -194, -291, -388, -582, and -1164.

Prime factors of 1164: 2, 3, and 97.

Prime factorization of 1164: 2 × 2 × 3 × 97 or (2² x 3x 97).

The sum of factors of 1164: 1 + 2 + 3 + 4 + 6 + 12 + 97 + 194 + 291 + 388 + 582 + 1164 = 2744

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

1. Finding factors using multiplication
2. Finding factors using the 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 1164. Identifying the numbers that are multiplied to get the number 1164 is the multiplication method.

Step 1: Multiply 1164 by 1, 1164 × 1 = 1164.

Step 2: Check for other numbers that give 1164 after multiplying

2 × 582 = 1164

3 × 388 = 1164

4 × 291 = 1164

6 × 194 = 1164

12 × 97 = 1164

Therefore, the positive factor pairs of 1164 are: (1, 1164), (2, 582), (3, 388), (4, 291), (6, 194), (12, 97). All these factor pairs result in 1164. 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 the simple division method -

Step 1: Divide 1164 by 1, 1164 ÷ 1 = 1164.

Step 2: Continue dividing 1164 by the numbers until the remainder becomes 0.

1164 ÷ 1 = 1164

1164 ÷ 2 = 582

1164 ÷ 3 = 388

1164 ÷ 4 = 291

1164 ÷ 6 = 194

1164 ÷ 12 = 97

Therefore, the factors of 1164 are: 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164.

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 a factor tree

Using Prime Factorization: In this process, prime factors of 1164 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1164 ÷ 2 = 582

582 ÷ 2 = 291

291 ÷ 3 = 97

97 ÷ 97 = 1

The prime factors of 1164 are 2, 3, and 97. The prime factorization of 1164 is: (2² x 3 x 97).

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

Step 1: Firstly, 1164 is divided by 2 to get 582.

Step 2: Now divide 582 by 2 to get 291.

Step 3: Then divide 291 by 3 to get 97. Here, 97 is a prime number and cannot be divided anymore. So, the prime factorization of 1164 is: (2² x 3 x 97).

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 1164: (1, 1164), (2, 582), (3, 388), (4, 291), (6, 194), (12, 97).
• Negative factor pairs of 1164: (-1, -1164), (-2, -582), (-3, -388), (-4, -291), (-6, -194), (-12, -97).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 97 are prime factors of 1164.

• 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 1164 are (1, 1164), (2, 582), etc.

• Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1164 is (2² x3 x 97).

• Multiple: A number that can be divided by another number without a remainder. For example, 1164 is a multiple of 6.